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Finding the Third Proportional to 2,741,414 and 5,940,460

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Solution

The third proportional to 2,741,414 and 5,940,460 is: 12,872,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741,414 : 5,940,460 = 5,940,460 : x
  2. Step 2: Convert to fraction form
    2,741,414/5,940,460 = 5,940,460/x
  3. Step 3: Cross multiply
    2,741,414x = 5,940,460 × 5,940,460
  4. Step 4: Simplify right side
    2,741,414x = 35,289,065,011,600
  5. Step 5: Solve for x
    x = 35,289,065,011,600/2,741,414
  6. Step 6: Final answer
    x = 12,872,577.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.