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Finding the Third Proportional to 408,976 and 873,616

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Solution

The third proportional to 408,976 and 873,616 is: 1,866,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,976 : 873,616 = 873,616 : x
  2. Step 2: Convert to fraction form
    408,976/873,616 = 873,616/x
  3. Step 3: Cross multiply
    408,976x = 873,616 × 873,616
  4. Step 4: Simplify right side
    408,976x = 763,204,915,456
  5. Step 5: Solve for x
    x = 763,204,915,456/408,976
  6. Step 6: Final answer
    x = 1,866,136.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.