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Finding the Third Proportional to 747,690 and 1,601,691

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Solution

The third proportional to 747,690 and 1,601,691 is: 3,431,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,690 : 1,601,691 = 1,601,691 : x
  2. Step 2: Convert to fraction form
    747,690/1,601,691 = 1,601,691/x
  3. Step 3: Cross multiply
    747,690x = 1,601,691 × 1,601,691
  4. Step 4: Simplify right side
    747,690x = 2,565,414,059,481
  5. Step 5: Solve for x
    x = 2,565,414,059,481/747,690
  6. Step 6: Final answer
    x = 3,431,119.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.