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Finding the Third Proportional to 729,825 and 1,162,192.50

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Solution

The third proportional to 729,825 and 1,162,192.50 is: 1,850,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,825 : 1,162,192.50 = 1,162,192.50 : x
  2. Step 2: Convert to fraction form
    729,825/1,162,192.50 = 1,162,192.50/x
  3. Step 3: Cross multiply
    729,825x = 1,162,192.50 × 1,162,192.50
  4. Step 4: Simplify right side
    729,825x = 1,350,691,407,056.25
  5. Step 5: Solve for x
    x = 1,350,691,407,056.25/729,825
  6. Step 6: Final answer
    x = 1,850,705.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.