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Finding the Third Proportional to 2,422,221.75 and 3,902,728.50

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Solution

The third proportional to 2,422,221.75 and 3,902,728.50 is: 6,288,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,221.75 : 3,902,728.50 = 3,902,728.50 : x
  2. Step 2: Convert to fraction form
    2,422,221.75/3,902,728.50 = 3,902,728.50/x
  3. Step 3: Cross multiply
    2,422,221.75x = 3,902,728.50 × 3,902,728.50
  4. Step 4: Simplify right side
    2,422,221.75x = 15,231,289,744,712.25
  5. Step 5: Solve for x
    x = 15,231,289,744,712.25/2,422,221.75
  6. Step 6: Final answer
    x = 6,288,148.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.