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Finding the Third Proportional to 396,161 and 853,924

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Solution

The third proportional to 396,161 and 853,924 is: 1,840,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,161 : 853,924 = 853,924 : x
  2. Step 2: Convert to fraction form
    396,161/853,924 = 853,924/x
  3. Step 3: Cross multiply
    396,161x = 853,924 × 853,924
  4. Step 4: Simplify right side
    396,161x = 729,186,197,776
  5. Step 5: Solve for x
    x = 729,186,197,776/396,161
  6. Step 6: Final answer
    x = 1,840,630.95

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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.