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Depends on paper thickness/quality, bullet hardness, bore dimensions/condition, etc. Could be significant increase. Too many variables to predict!

Your question indicates you may not be aware how little capacity difference there is between the .30/06 and 7.62x54R. Reduced loads for one cartridge are "safe" in the other.

QuickLOAD estimates...

8 grains Bullseye is a good "rat round" charge - and if we goof and dump a double charge of 16 grains, that's not a bad load either. Bullets in the 180-grain neighborhood are fine.

Sample...