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Finding the Third Proportional to 394,641 and 868,014

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Solution

The third proportional to 394,641 and 868,014 is: 1,909,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,641 : 868,014 = 868,014 : x
  2. Step 2: Convert to fraction form
    394,641/868,014 = 868,014/x
  3. Step 3: Cross multiply
    394,641x = 868,014 × 868,014
  4. Step 4: Simplify right side
    394,641x = 753,448,304,196
  5. Step 5: Solve for x
    x = 753,448,304,196/394,641
  6. Step 6: Final answer
    x = 1,909,199.26

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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.