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Finding the Third Proportional to 394,822 and 868,352

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Solution

The third proportional to 394,822 and 868,352 is: 1,909,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,822 : 868,352 = 868,352 : x
  2. Step 2: Convert to fraction form
    394,822/868,352 = 868,352/x
  3. Step 3: Cross multiply
    394,822x = 868,352 × 868,352
  4. Step 4: Simplify right side
    394,822x = 754,035,195,904
  5. Step 5: Solve for x
    x = 754,035,195,904/394,822
  6. Step 6: Final answer
    x = 1,909,810.49

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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.