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Finding the Third Proportional to 2,471,028 and 5,414,448

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Solution

The third proportional to 2,471,028 and 5,414,448 is: 11,863,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,028 : 5,414,448 = 5,414,448 : x
  2. Step 2: Convert to fraction form
    2,471,028/5,414,448 = 5,414,448/x
  3. Step 3: Cross multiply
    2,471,028x = 5,414,448 × 5,414,448
  4. Step 4: Simplify right side
    2,471,028x = 29,316,247,144,704
  5. Step 5: Solve for x
    x = 29,316,247,144,704/2,471,028
  6. Step 6: Final answer
    x = 11,863,988.24

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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.