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Finding the Third Proportional to 681,084 and 1,432,744

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Solution

The third proportional to 681,084 and 1,432,744 is: 3,013,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,084 : 1,432,744 = 1,432,744 : x
  2. Step 2: Convert to fraction form
    681,084/1,432,744 = 1,432,744/x
  3. Step 3: Cross multiply
    681,084x = 1,432,744 × 1,432,744
  4. Step 4: Simplify right side
    681,084x = 2,052,755,369,536
  5. Step 5: Solve for x
    x = 2,052,755,369,536/681,084
  6. Step 6: Final answer
    x = 3,013,953.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.