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Finding the Third Proportional to 666,724 and 1,059,135

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Solution

The third proportional to 666,724 and 1,059,135 is: 1,682,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,724 : 1,059,135 = 1,059,135 : x
  2. Step 2: Convert to fraction form
    666,724/1,059,135 = 1,059,135/x
  3. Step 3: Cross multiply
    666,724x = 1,059,135 × 1,059,135
  4. Step 4: Simplify right side
    666,724x = 1,121,766,948,225
  5. Step 5: Solve for x
    x = 1,121,766,948,225/666,724
  6. Step 6: Final answer
    x = 1,682,505.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.