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Finding the Third Proportional to 2,542,842 and 5,388,948

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Solution

The third proportional to 2,542,842 and 5,388,948 is: 11,420,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542,842 : 5,388,948 = 5,388,948 : x
  2. Step 2: Convert to fraction form
    2,542,842/5,388,948 = 5,388,948/x
  3. Step 3: Cross multiply
    2,542,842x = 5,388,948 × 5,388,948
  4. Step 4: Simplify right side
    2,542,842x = 29,040,760,546,704
  5. Step 5: Solve for x
    x = 29,040,760,546,704/2,542,842
  6. Step 6: Final answer
    x = 11,420,591.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.