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Finding the Third Proportional to 747,942 and 1,609,932

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Solution

The third proportional to 747,942 and 1,609,932 is: 3,465,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,942 : 1,609,932 = 1,609,932 : x
  2. Step 2: Convert to fraction form
    747,942/1,609,932 = 1,609,932/x
  3. Step 3: Cross multiply
    747,942x = 1,609,932 × 1,609,932
  4. Step 4: Simplify right side
    747,942x = 2,591,881,044,624
  5. Step 5: Solve for x
    x = 2,591,881,044,624/747,942
  6. Step 6: Final answer
    x = 3,465,350.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.