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Finding the Third Proportional to 396,061 and 934,037

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Solution

The third proportional to 396,061 and 934,037 is: 2,202,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,061 : 934,037 = 934,037 : x
  2. Step 2: Convert to fraction form
    396,061/934,037 = 934,037/x
  3. Step 3: Cross multiply
    396,061x = 934,037 × 934,037
  4. Step 4: Simplify right side
    396,061x = 872,425,117,369
  5. Step 5: Solve for x
    x = 872,425,117,369/396,061
  6. Step 6: Final answer
    x = 2,202,754.42

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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.