This is probably not too much of an issue on its own, but probably points to other imbalances that can be or become an issue. Usually if your right arm is stronger, that means that your right pec muscles are stronger, and possibly your shoulder muscles too, which could cause twists in your spine, which could cause scoliosis now or later. Those are all big maybe's, and I'm not a doctor, so take what I say with a big grain of salt.
Talking to one of my chiropractors a few years back, he told me that he plays tons of baseball in season, and has a huge imbalance between his right and left side, so he spends almost the entire off-season trying to correct the imbalance, so that he doesn't have problems. It sounded like this is common in professional sports, but I don't play professional sports, so I don't know.
If you want to try and correct, just try to do a little bit more weight on the weak arm/side. You'd want to do this with dumbbells, not barbells, because your stronger arm can still do more work if you're using barbells.
You could also try doing different stability exercises that force each side to catch up (such as pushups with more of the weight on one side of your body, cable flys, pushups on an exercise ball, military presses with dumbbells, etc).
Hope that helps.