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Finding the Third Proportional to 724,972.50 and 1,589,382

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Solution

The third proportional to 724,972.50 and 1,589,382 is: 3,484,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,972.50 : 1,589,382 = 1,589,382 : x
  2. Step 2: Convert to fraction form
    724,972.50/1,589,382 = 1,589,382/x
  3. Step 3: Cross multiply
    724,972.50x = 1,589,382 × 1,589,382
  4. Step 4: Simplify right side
    724,972.50x = 2,526,135,141,924
  5. Step 5: Solve for x
    x = 2,526,135,141,924/724,972.50
  6. Step 6: Final answer
    x = 3,484,456.50

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Why These Related Problems?

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