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Finding the Third Proportional to 394,730 and 868,191

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Solution

The third proportional to 394,730 and 868,191 is: 1,909,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,730 : 868,191 = 868,191 : x
  2. Step 2: Convert to fraction form
    394,730/868,191 = 868,191/x
  3. Step 3: Cross multiply
    394,730x = 868,191 × 868,191
  4. Step 4: Simplify right side
    394,730x = 753,755,612,481
  5. Step 5: Solve for x
    x = 753,755,612,481/394,730
  6. Step 6: Final answer
    x = 1,909,547.32

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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.