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Finding the Third Proportional to 724,723 and 1,543,000

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Solution

The third proportional to 724,723 and 1,543,000 is: 3,285,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,723 : 1,543,000 = 1,543,000 : x
  2. Step 2: Convert to fraction form
    724,723/1,543,000 = 1,543,000/x
  3. Step 3: Cross multiply
    724,723x = 1,543,000 × 1,543,000
  4. Step 4: Simplify right side
    724,723x = 2,380,849,000,000
  5. Step 5: Solve for x
    x = 2,380,849,000,000/724,723
  6. Step 6: Final answer
    x = 3,285,184.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.