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Finding the Third Proportional to 396,027 and 853,641

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Solution

The third proportional to 396,027 and 853,641 is: 1,840,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,027 : 853,641 = 853,641 : x
  2. Step 2: Convert to fraction form
    396,027/853,641 = 853,641/x
  3. Step 3: Cross multiply
    396,027x = 853,641 × 853,641
  4. Step 4: Simplify right side
    396,027x = 728,702,956,881
  5. Step 5: Solve for x
    x = 728,702,956,881/396,027
  6. Step 6: Final answer
    x = 1,840,033.53

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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.