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Finding the Third Proportional to 443,863.13 and 970,761.38

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Solution

The third proportional to 443,863.13 and 970,761.38 is: 2,123,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,863.13 : 970,761.38 = 970,761.38 : x
  2. Step 2: Convert to fraction form
    443,863.13/970,761.38 = 970,761.38/x
  3. Step 3: Cross multiply
    443,863.13x = 970,761.38 × 970,761.38
  4. Step 4: Simplify right side
    443,863.13x = 942,377,647,191.89
  5. Step 5: Solve for x
    x = 942,377,647,191.89/443,863.13
  6. Step 6: Final answer
    x = 2,123,126.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.