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Finding the Third Proportional to 2,074,966 and 3,141,404

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Solution

The third proportional to 2,074,966 and 3,141,404 is: 4,755,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,966 : 3,141,404 = 3,141,404 : x
  2. Step 2: Convert to fraction form
    2,074,966/3,141,404 = 3,141,404/x
  3. Step 3: Cross multiply
    2,074,966x = 3,141,404 × 3,141,404
  4. Step 4: Simplify right side
    2,074,966x = 9,868,419,091,216
  5. Step 5: Solve for x
    x = 9,868,419,091,216/2,074,966
  6. Step 6: Final answer
    x = 4,755,942.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.