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Finding the Third Proportional to 1,747,214 and 2,741,366

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Solution

The third proportional to 1,747,214 and 2,741,366 is: 4,301,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,214 : 2,741,366 = 2,741,366 : x
  2. Step 2: Convert to fraction form
    1,747,214/2,741,366 = 2,741,366/x
  3. Step 3: Cross multiply
    1,747,214x = 2,741,366 × 2,741,366
  4. Step 4: Simplify right side
    1,747,214x = 7,515,087,545,956
  5. Step 5: Solve for x
    x = 7,515,087,545,956/1,747,214
  6. Step 6: Final answer
    x = 4,301,183.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.