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Finding the Third Proportional to 724,524 and 1,589,016

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Solution

The third proportional to 724,524 and 1,589,016 is: 3,485,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,524 : 1,589,016 = 1,589,016 : x
  2. Step 2: Convert to fraction form
    724,524/1,589,016 = 1,589,016/x
  3. Step 3: Cross multiply
    724,524x = 1,589,016 × 1,589,016
  4. Step 4: Simplify right side
    724,524x = 2,524,971,848,256
  5. Step 5: Solve for x
    x = 2,524,971,848,256/724,524
  6. Step 6: Final answer
    x = 3,485,007.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.