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Finding the Third Proportional to 664,688 and 1,449,676

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Solution

The third proportional to 664,688 and 1,449,676 is: 3,161,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,688 : 1,449,676 = 1,449,676 : x
  2. Step 2: Convert to fraction form
    664,688/1,449,676 = 1,449,676/x
  3. Step 3: Cross multiply
    664,688x = 1,449,676 × 1,449,676
  4. Step 4: Simplify right side
    664,688x = 2,101,560,504,976
  5. Step 5: Solve for x
    x = 2,101,560,504,976/664,688
  6. Step 6: Final answer
    x = 3,161,724.76

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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.