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Finding the Third Proportional to 724,725 and 1,543,004

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Solution

The third proportional to 724,725 and 1,543,004 is: 3,285,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,725 : 1,543,004 = 1,543,004 : x
  2. Step 2: Convert to fraction form
    724,725/1,543,004 = 1,543,004/x
  3. Step 3: Cross multiply
    724,725x = 1,543,004 × 1,543,004
  4. Step 4: Simplify right side
    724,725x = 2,380,861,344,016
  5. Step 5: Solve for x
    x = 2,380,861,344,016/724,725
  6. Step 6: Final answer
    x = 3,285,192.79

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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.