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Finding the Third Proportional to 386,892 and 869,016

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Solution

The third proportional to 386,892 and 869,016 is: 1,951,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,892 : 869,016 = 869,016 : x
  2. Step 2: Convert to fraction form
    386,892/869,016 = 869,016/x
  3. Step 3: Cross multiply
    386,892x = 869,016 × 869,016
  4. Step 4: Simplify right side
    386,892x = 755,188,808,256
  5. Step 5: Solve for x
    x = 755,188,808,256/386,892
  6. Step 6: Final answer
    x = 1,951,937.00

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.