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Finding the Third Proportional to 396,156 and 853,911

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Solution

The third proportional to 396,156 and 853,911 is: 1,840,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,156 : 853,911 = 853,911 : x
  2. Step 2: Convert to fraction form
    396,156/853,911 = 853,911/x
  3. Step 3: Cross multiply
    396,156x = 853,911 × 853,911
  4. Step 4: Simplify right side
    396,156x = 729,163,995,921
  5. Step 5: Solve for x
    x = 729,163,995,921/396,156
  6. Step 6: Final answer
    x = 1,840,598.14

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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.