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Finding the Third Proportional to 3,883,473.75 and 5,825,211

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Solution

The third proportional to 3,883,473.75 and 5,825,211 is: 8,737,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883,473.75 : 5,825,211 = 5,825,211 : x
  2. Step 2: Convert to fraction form
    3,883,473.75/5,825,211 = 5,825,211/x
  3. Step 3: Cross multiply
    3,883,473.75x = 5,825,211 × 5,825,211
  4. Step 4: Simplify right side
    3,883,473.75x = 33,933,083,194,521
  5. Step 5: Solve for x
    x = 33,933,083,194,521/3,883,473.75
  6. Step 6: Final answer
    x = 8,737,817.06

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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.