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Finding the Third Proportional to 394,680 and 868,092

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Solution

The third proportional to 394,680 and 868,092 is: 1,909,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,680 : 868,092 = 868,092 : x
  2. Step 2: Convert to fraction form
    394,680/868,092 = 868,092/x
  3. Step 3: Cross multiply
    394,680x = 868,092 × 868,092
  4. Step 4: Simplify right side
    394,680x = 753,583,720,464
  5. Step 5: Solve for x
    x = 753,583,720,464/394,680
  6. Step 6: Final answer
    x = 1,909,353.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.