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Finding the Third Proportional to 424,824,757 and 656,103,656

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Solution

The third proportional to 424,824,757 and 656,103,656 is: 1,013,293,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,757 : 656,103,656 = 656,103,656 : x
  2. Step 2: Convert to fraction form
    424,824,757/656,103,656 = 656,103,656/x
  3. Step 3: Cross multiply
    424,824,757x = 656,103,656 × 656,103,656
  4. Step 4: Simplify right side
    424,824,757x = 430,472,007,416,566,336
  5. Step 5: Solve for x
    x = 430,472,007,416,566,336/424,824,757
  6. Step 6: Final answer
    x = 1,013,293,129.28

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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.