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Finding the Third Proportional to 443,149 and 966,474

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Solution

The third proportional to 443,149 and 966,474 is: 2,107,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,149 : 966,474 = 966,474 : x
  2. Step 2: Convert to fraction form
    443,149/966,474 = 966,474/x
  3. Step 3: Cross multiply
    443,149x = 966,474 × 966,474
  4. Step 4: Simplify right side
    443,149x = 934,071,992,676
  5. Step 5: Solve for x
    x = 934,071,992,676/443,149
  6. Step 6: Final answer
    x = 2,107,805.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.