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Finding the Third Proportional to 396,186 and 853,974

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Solution

The third proportional to 396,186 and 853,974 is: 1,840,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,186 : 853,974 = 853,974 : x
  2. Step 2: Convert to fraction form
    396,186/853,974 = 853,974/x
  3. Step 3: Cross multiply
    396,186x = 853,974 × 853,974
  4. Step 4: Simplify right side
    396,186x = 729,271,592,676
  5. Step 5: Solve for x
    x = 729,271,592,676/396,186
  6. Step 6: Final answer
    x = 1,840,730.35

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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.