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Finding the Third Proportional to 2,741,386 and 5,940,403

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Solution

The third proportional to 2,741,386 and 5,940,403 is: 12,872,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741,386 : 5,940,403 = 5,940,403 : x
  2. Step 2: Convert to fraction form
    2,741,386/5,940,403 = 5,940,403/x
  3. Step 3: Cross multiply
    2,741,386x = 5,940,403 × 5,940,403
  4. Step 4: Simplify right side
    2,741,386x = 35,288,387,802,409
  5. Step 5: Solve for x
    x = 35,288,387,802,409/2,741,386
  6. Step 6: Final answer
    x = 12,872,462.25

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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.