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Finding the Third Proportional to 531,425,761 and 748,038,471

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Solution

The third proportional to 531,425,761 and 748,038,471 is: 1,052,943,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,425,761 : 748,038,471 = 748,038,471 : x
  2. Step 2: Convert to fraction form
    531,425,761/748,038,471 = 748,038,471/x
  3. Step 3: Cross multiply
    531,425,761x = 748,038,471 × 748,038,471
  4. Step 4: Simplify right side
    531,425,761x = 559,561,554,096,017,856
  5. Step 5: Solve for x
    x = 559,561,554,096,017,856/531,425,761
  6. Step 6: Final answer
    x = 1,052,943,976.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.