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A/6 = B/13 = k
A = 6k
B = 13k
B - A = 637
13k - 6k = 637
7k = 637
k = 91
A = 6(91) = 546
B = 13(91) = 1183
546 + 1183 + C = 2940
1729 + C = 2940
C = 1211