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Finding the Third Proportional to 424,824,334 and 656,103,020

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Solution

The third proportional to 424,824,334 and 656,103,020 is: 1,013,292,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,334 : 656,103,020 = 656,103,020 : x
  2. Step 2: Convert to fraction form
    424,824,334/656,103,020 = 656,103,020/x
  3. Step 3: Cross multiply
    424,824,334x = 656,103,020 × 656,103,020
  4. Step 4: Simplify right side
    424,824,334x = 430,471,172,853,120,384
  5. Step 5: Solve for x
    x = 430,471,172,853,120,384/424,824,334
  6. Step 6: Final answer
    x = 1,013,292,173.73

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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.