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Finding the Third Proportional to 871,450 and 1,876,384

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Solution

The third proportional to 871,450 and 1,876,384 is: 4,040,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,450 : 1,876,384 = 1,876,384 : x
  2. Step 2: Convert to fraction form
    871,450/1,876,384 = 1,876,384/x
  3. Step 3: Cross multiply
    871,450x = 1,876,384 × 1,876,384
  4. Step 4: Simplify right side
    871,450x = 3,520,816,915,456
  5. Step 5: Solve for x
    x = 3,520,816,915,456/871,450
  6. Step 6: Final answer
    x = 4,040,182.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.