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Finding the Third Proportional to 646,757,776 and 994,123,612

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Solution

The third proportional to 646,757,776 and 994,123,612 is: 1,528,055,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,757,776 : 994,123,612 = 994,123,612 : x
  2. Step 2: Convert to fraction form
    646,757,776/994,123,612 = 994,123,612/x
  3. Step 3: Cross multiply
    646,757,776x = 994,123,612 × 994,123,612
  4. Step 4: Simplify right side
    646,757,776x = 988,281,755,935,926,528
  5. Step 5: Solve for x
    x = 988,281,755,935,926,528/646,757,776
  6. Step 6: Final answer
    x = 1,528,055,467.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.