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Finding the Third Proportional to 396,159 and 853,917

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Solution

The third proportional to 396,159 and 853,917 is: 1,840,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,159 : 853,917 = 853,917 : x
  2. Step 2: Convert to fraction form
    396,159/853,917 = 853,917/x
  3. Step 3: Cross multiply
    396,159x = 853,917 × 853,917
  4. Step 4: Simplify right side
    396,159x = 729,174,242,889
  5. Step 5: Solve for x
    x = 729,174,242,889/396,159
  6. Step 6: Final answer
    x = 1,840,610.07

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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.