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Finding the Third Proportional to 817,134 and 1,350,441

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Solution

The third proportional to 817,134 and 1,350,441 is: 2,231,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,134 : 1,350,441 = 1,350,441 : x
  2. Step 2: Convert to fraction form
    817,134/1,350,441 = 1,350,441/x
  3. Step 3: Cross multiply
    817,134x = 1,350,441 × 1,350,441
  4. Step 4: Simplify right side
    817,134x = 1,823,690,894,481
  5. Step 5: Solve for x
    x = 1,823,690,894,481/817,134
  6. Step 6: Final answer
    x = 2,231,813.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.