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Finding the Third Proportional to 2,467,746 and 3,732,729

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Solution

The third proportional to 2,467,746 and 3,732,729 is: 5,646,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,746 : 3,732,729 = 3,732,729 : x
  2. Step 2: Convert to fraction form
    2,467,746/3,732,729 = 3,732,729/x
  3. Step 3: Cross multiply
    2,467,746x = 3,732,729 × 3,732,729
  4. Step 4: Simplify right side
    2,467,746x = 13,933,265,787,441
  5. Step 5: Solve for x
    x = 13,933,265,787,441/2,467,746
  6. Step 6: Final answer
    x = 5,646,150.69

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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.