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Finding the Third Proportional to 729,808.73 and 1,162,168.38

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Solution

The third proportional to 729,808.73 and 1,162,168.38 is: 1,850,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,808.73 : 1,162,168.38 = 1,162,168.38 : x
  2. Step 2: Convert to fraction form
    729,808.73/1,162,168.38 = 1,162,168.38/x
  3. Step 3: Cross multiply
    729,808.73x = 1,162,168.38 × 1,162,168.38
  4. Step 4: Simplify right side
    729,808.73x = 1,350,635,350,009.02
  5. Step 5: Solve for x
    x = 1,350,635,350,009.02/729,808.73
  6. Step 6: Final answer
    x = 1,850,670.30

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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.