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Finding the Third Proportional to 726,716 and 1,040,250

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Solution

The third proportional to 726,716 and 1,040,250 is: 1,489,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,716 : 1,040,250 = 1,040,250 : x
  2. Step 2: Convert to fraction form
    726,716/1,040,250 = 1,040,250/x
  3. Step 3: Cross multiply
    726,716x = 1,040,250 × 1,040,250
  4. Step 4: Simplify right side
    726,716x = 1,082,120,062,500
  5. Step 5: Solve for x
    x = 1,082,120,062,500/726,716
  6. Step 6: Final answer
    x = 1,489,054.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.