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Finding the Third Proportional to 424,824,769 and 656,103,674

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Solution

The third proportional to 424,824,769 and 656,103,674 is: 1,013,293,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,769 : 656,103,674 = 656,103,674 : x
  2. Step 2: Convert to fraction form
    424,824,769/656,103,674 = 656,103,674/x
  3. Step 3: Cross multiply
    424,824,769x = 656,103,674 × 656,103,674
  4. Step 4: Simplify right side
    424,824,769x = 430,472,031,036,298,304
  5. Step 5: Solve for x
    x = 430,472,031,036,298,304/424,824,769
  6. Step 6: Final answer
    x = 1,013,293,156.26

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Why These Related Problems?

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