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Finding the Third Proportional to 408,110 and 865,624

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Solution

The third proportional to 408,110 and 865,624 is: 1,836,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,110 : 865,624 = 865,624 : x
  2. Step 2: Convert to fraction form
    408,110/865,624 = 865,624/x
  3. Step 3: Cross multiply
    408,110x = 865,624 × 865,624
  4. Step 4: Simplify right side
    408,110x = 749,304,909,376
  5. Step 5: Solve for x
    x = 749,304,909,376/408,110
  6. Step 6: Final answer
    x = 1,836,036.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.