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Finding the Third Proportional to 396,049 and 934,635

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Solution

The third proportional to 396,049 and 934,635 is: 2,205,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,049 : 934,635 = 934,635 : x
  2. Step 2: Convert to fraction form
    396,049/934,635 = 934,635/x
  3. Step 3: Cross multiply
    396,049x = 934,635 × 934,635
  4. Step 4: Simplify right side
    396,049x = 873,542,583,225
  5. Step 5: Solve for x
    x = 873,542,583,225/396,049
  6. Step 6: Final answer
    x = 2,205,642.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.