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Finding the Third Proportional to 424,824,782 and 656,103,694

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Solution

The third proportional to 424,824,782 and 656,103,694 is: 1,013,293,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,782 : 656,103,694 = 656,103,694 : x
  2. Step 2: Convert to fraction form
    424,824,782/656,103,694 = 656,103,694/x
  3. Step 3: Cross multiply
    424,824,782x = 656,103,694 × 656,103,694
  4. Step 4: Simplify right side
    424,824,782x = 430,472,057,280,445,632
  5. Step 5: Solve for x
    x = 430,472,057,280,445,632/424,824,782
  6. Step 6: Final answer
    x = 1,013,293,187.03

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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.