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Finding the Third Proportional to 566,638 and 884,422

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Solution

The third proportional to 566,638 and 884,422 is: 1,380,426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,638 : 884,422 = 884,422 : x
  2. Step 2: Convert to fraction form
    566,638/884,422 = 884,422/x
  3. Step 3: Cross multiply
    566,638x = 884,422 × 884,422
  4. Step 4: Simplify right side
    566,638x = 782,202,274,084
  5. Step 5: Solve for x
    x = 782,202,274,084/566,638
  6. Step 6: Final answer
    x = 1,380,426.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.