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Finding the Third Proportional to 664,812 and 1,449,868

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Solution

The third proportional to 664,812 and 1,449,868 is: 3,161,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,812 : 1,449,868 = 1,449,868 : x
  2. Step 2: Convert to fraction form
    664,812/1,449,868 = 1,449,868/x
  3. Step 3: Cross multiply
    664,812x = 1,449,868 × 1,449,868
  4. Step 4: Simplify right side
    664,812x = 2,102,117,217,424
  5. Step 5: Solve for x
    x = 2,102,117,217,424/664,812
  6. Step 6: Final answer
    x = 3,161,972.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.