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Finding the Third Proportional to 424,824,780 and 656,103,691

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Solution

The third proportional to 424,824,780 and 656,103,691 is: 1,013,293,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,780 : 656,103,691 = 656,103,691 : x
  2. Step 2: Convert to fraction form
    424,824,780/656,103,691 = 656,103,691/x
  3. Step 3: Cross multiply
    424,824,780x = 656,103,691 × 656,103,691
  4. Step 4: Simplify right side
    424,824,780x = 430,472,053,343,823,488
  5. Step 5: Solve for x
    x = 430,472,053,343,823,488/424,824,780
  6. Step 6: Final answer
    x = 1,013,293,182.53

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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.