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Finding the Third Proportional to 3,883,478 and 5,825,218

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Solution

The third proportional to 3,883,478 and 5,825,218 is: 8,737,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883,478 : 5,825,218 = 5,825,218 : x
  2. Step 2: Convert to fraction form
    3,883,478/5,825,218 = 5,825,218/x
  3. Step 3: Cross multiply
    3,883,478x = 5,825,218 × 5,825,218
  4. Step 4: Simplify right side
    3,883,478x = 33,933,164,747,524
  5. Step 5: Solve for x
    x = 33,933,164,747,524/3,883,478
  6. Step 6: Final answer
    x = 8,737,828.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.