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Finding the Third Proportional to 396,892 and 855,992

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Solution

The third proportional to 396,892 and 855,992 is: 1,846,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,892 : 855,992 = 855,992 : x
  2. Step 2: Convert to fraction form
    396,892/855,992 = 855,992/x
  3. Step 3: Cross multiply
    396,892x = 855,992 × 855,992
  4. Step 4: Simplify right side
    396,892x = 732,722,304,064
  5. Step 5: Solve for x
    x = 732,722,304,064/396,892
  6. Step 6: Final answer
    x = 1,846,150.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.