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Finding the Third Proportional to 827,724 and 1,282,165

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Solution

The third proportional to 827,724 and 1,282,165 is: 1,986,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,724 : 1,282,165 = 1,282,165 : x
  2. Step 2: Convert to fraction form
    827,724/1,282,165 = 1,282,165/x
  3. Step 3: Cross multiply
    827,724x = 1,282,165 × 1,282,165
  4. Step 4: Simplify right side
    827,724x = 1,643,947,087,225
  5. Step 5: Solve for x
    x = 1,643,947,087,225/827,724
  6. Step 6: Final answer
    x = 1,986,105.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.