Finding the Third Proportional to 413,729,343 and 617,006,187
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Solution
The third proportional to 413,729,343 and 617,006,187 is: 920,158,652.60
Step by Step Solution
- Step 1: Write the proportion equation
413,729,343 : 617,006,187 = 617,006,187 : x - Step 2: Convert to fraction form
413,729,343/617,006,187 = 617,006,187/x - Step 3: Cross multiply
413,729,343x = 617,006,187 × 617,006,187 - Step 4: Simplify right side
413,729,343x = 380,696,634,796,278,976 - Step 5: Solve for x
x = 380,696,634,796,278,976/413,729,343 - Step 6: Final answer
x = 920,158,652.60
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.