This post will certainly pull some nasty responses and that is fine, gotta' call out a couple bad responses. Those claiming to be "professional" truck drivers but then espouse the benefits of ignoring vehicle-specific capacity numbers do a disservice to their profession. When someone asks for help understanding the capabilities of their truck, it is just plain wrong to immediately talk about how you ignore one of the critical capacity values and do what you want, so it is okay for everyone to just guess at what their truck can safely do.
The GVW will possibly never equal front and rear combined axle ratings for multiple reasons. Why don't they; front is maybe able to handle a heavy plow, and rear can handle large load of material, but possibly not at the same time. If you aren't the engineer that rated the truck, you don't know if one critical component was designed just to closely meet (not wildly exceed) the GVW/GVWR values and may contribute to catastrophic failure when exceeding truck design.
If I followed some advice here and were to just go by the combined axle weights I could carry 20% (1 ton) more than my stated GVW and that would be just plain stupid crazy to even think is safe. But if I did follow that "professional" advice and only considered half of that found payload capacity, my 2500 3k payload goes to 4k and math of a 15% pin weight of a 5th wheel allows me to tow a 27k pound trailer, which puts me at 39k pounds gcwr - but that's okay because I haven't exceeded either gross axle weight. And before someone (rightly) calls out that I have exceeded my stated GCWR as found on the Ram website, that number doesn't matter if all I care about is my combined gross axle weights. Imagine if I calculate and pull a trailer using the full 1 ton of found payload capacity!
For original poster and others who want to use the vehicle as designed, follow the data on your door jamb (not charts) and ignore statements like "if you tow once or twice a year, go ahead and tow too much" and "I routinely tow way over my limit and haven't killed anyone yet". What matters is what you do and how your decision may impact some unsuspecting family.