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Finding the Third Proportional to 2,396,998 and 5,149,747

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Solution

The third proportional to 2,396,998 and 5,149,747 is: 11,063,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396,998 : 5,149,747 = 5,149,747 : x
  2. Step 2: Convert to fraction form
    2,396,998/5,149,747 = 5,149,747/x
  3. Step 3: Cross multiply
    2,396,998x = 5,149,747 × 5,149,747
  4. Step 4: Simplify right side
    2,396,998x = 26,519,894,164,009
  5. Step 5: Solve for x
    x = 26,519,894,164,009/2,396,998
  6. Step 6: Final answer
    x = 11,063,794.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.