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Finding the Third Proportional to 664,512 and 1,003,680

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Solution

The third proportional to 664,512 and 1,003,680 is: 1,515,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,512 : 1,003,680 = 1,003,680 : x
  2. Step 2: Convert to fraction form
    664,512/1,003,680 = 1,003,680/x
  3. Step 3: Cross multiply
    664,512x = 1,003,680 × 1,003,680
  4. Step 4: Simplify right side
    664,512x = 1,007,373,542,400
  5. Step 5: Solve for x
    x = 1,007,373,542,400/664,512
  6. Step 6: Final answer
    x = 1,515,959.90

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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.