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Finding the Third Proportional to 2,467,758 and 3,732,747

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Solution

The third proportional to 2,467,758 and 3,732,747 is: 5,646,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,758 : 3,732,747 = 3,732,747 : x
  2. Step 2: Convert to fraction form
    2,467,758/3,732,747 = 3,732,747/x
  3. Step 3: Cross multiply
    2,467,758x = 3,732,747 × 3,732,747
  4. Step 4: Simplify right side
    2,467,758x = 13,933,400,166,009
  5. Step 5: Solve for x
    x = 13,933,400,166,009/2,467,758
  6. Step 6: Final answer
    x = 5,646,177.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.