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Finding the Third Proportional to 724,516 and 1,589,000

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Solution

The third proportional to 724,516 and 1,589,000 is: 3,484,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,516 : 1,589,000 = 1,589,000 : x
  2. Step 2: Convert to fraction form
    724,516/1,589,000 = 1,589,000/x
  3. Step 3: Cross multiply
    724,516x = 1,589,000 × 1,589,000
  4. Step 4: Simplify right side
    724,516x = 2,524,921,000,000
  5. Step 5: Solve for x
    x = 2,524,921,000,000/724,516
  6. Step 6: Final answer
    x = 3,484,976.18

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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.