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Finding the Third Proportional to 1,086,823.50 and 2,383,599

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Solution

The third proportional to 1,086,823.50 and 2,383,599 is: 5,227,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,823.50 : 2,383,599 = 2,383,599 : x
  2. Step 2: Convert to fraction form
    1,086,823.50/2,383,599 = 2,383,599/x
  3. Step 3: Cross multiply
    1,086,823.50x = 2,383,599 × 2,383,599
  4. Step 4: Simplify right side
    1,086,823.50x = 5,681,544,192,801
  5. Step 5: Solve for x
    x = 5,681,544,192,801/1,086,823.50
  6. Step 6: Final answer
    x = 5,227,660.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.