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Finding the Third Proportional to 664,920 and 1,462,680

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Solution

The third proportional to 664,920 and 1,462,680 is: 3,217,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,920 : 1,462,680 = 1,462,680 : x
  2. Step 2: Convert to fraction form
    664,920/1,462,680 = 1,462,680/x
  3. Step 3: Cross multiply
    664,920x = 1,462,680 × 1,462,680
  4. Step 4: Simplify right side
    664,920x = 2,139,432,782,400
  5. Step 5: Solve for x
    x = 2,139,432,782,400/664,920
  6. Step 6: Final answer
    x = 3,217,579.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.