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Finding the Third Proportional to 394,525 and 862,857

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Solution

The third proportional to 394,525 and 862,857 is: 1,887,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,525 : 862,857 = 862,857 : x
  2. Step 2: Convert to fraction form
    394,525/862,857 = 862,857/x
  3. Step 3: Cross multiply
    394,525x = 862,857 × 862,857
  4. Step 4: Simplify right side
    394,525x = 744,522,202,449
  5. Step 5: Solve for x
    x = 744,522,202,449/394,525
  6. Step 6: Final answer
    x = 1,887,135.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.