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Finding the Third Proportional to 394,452 and 851,940

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Solution

The third proportional to 394,452 and 851,940 is: 1,840,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,452 : 851,940 = 851,940 : x
  2. Step 2: Convert to fraction form
    394,452/851,940 = 851,940/x
  3. Step 3: Cross multiply
    394,452x = 851,940 × 851,940
  4. Step 4: Simplify right side
    394,452x = 725,801,763,600
  5. Step 5: Solve for x
    x = 725,801,763,600/394,452
  6. Step 6: Final answer
    x = 1,840,025.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.