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Finding the Third Proportional to 381,180 and 811,662

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Solution

The third proportional to 381,180 and 811,662 is: 1,728,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,180 : 811,662 = 811,662 : x
  2. Step 2: Convert to fraction form
    381,180/811,662 = 811,662/x
  3. Step 3: Cross multiply
    381,180x = 811,662 × 811,662
  4. Step 4: Simplify right side
    381,180x = 658,795,202,244
  5. Step 5: Solve for x
    x = 658,795,202,244/381,180
  6. Step 6: Final answer
    x = 1,728,304.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.