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Finding the Third Proportional to 1,933,778.25 and 4,211,631

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Solution

The third proportional to 1,933,778.25 and 4,211,631 is: 9,172,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933,778.25 : 4,211,631 = 4,211,631 : x
  2. Step 2: Convert to fraction form
    1,933,778.25/4,211,631 = 4,211,631/x
  3. Step 3: Cross multiply
    1,933,778.25x = 4,211,631 × 4,211,631
  4. Step 4: Simplify right side
    1,933,778.25x = 17,737,835,680,161
  5. Step 5: Solve for x
    x = 17,737,835,680,161/1,933,778.25
  6. Step 6: Final answer
    x = 9,172,631.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.