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Finding the Third Proportional to 2,741,384 and 5,940,396

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Solution

The third proportional to 2,741,384 and 5,940,396 is: 12,872,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741,384 : 5,940,396 = 5,940,396 : x
  2. Step 2: Convert to fraction form
    2,741,384/5,940,396 = 5,940,396/x
  3. Step 3: Cross multiply
    2,741,384x = 5,940,396 × 5,940,396
  4. Step 4: Simplify right side
    2,741,384x = 35,288,304,636,816
  5. Step 5: Solve for x
    x = 35,288,304,636,816/2,741,384
  6. Step 6: Final answer
    x = 12,872,441.31

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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.