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Finding the Third Proportional to 729,827 and 1,162,195

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Solution

The third proportional to 729,827 and 1,162,195 is: 1,850,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,827 : 1,162,195 = 1,162,195 : x
  2. Step 2: Convert to fraction form
    729,827/1,162,195 = 1,162,195/x
  3. Step 3: Cross multiply
    729,827x = 1,162,195 × 1,162,195
  4. Step 4: Simplify right side
    729,827x = 1,350,697,218,025
  5. Step 5: Solve for x
    x = 1,350,697,218,025/729,827
  6. Step 6: Final answer
    x = 1,850,708.75

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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.