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Finding the Third Proportional to 2,023,203 and 4,272,234

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Solution

The third proportional to 2,023,203 and 4,272,234 is: 9,021,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,203 : 4,272,234 = 4,272,234 : x
  2. Step 2: Convert to fraction form
    2,023,203/4,272,234 = 4,272,234/x
  3. Step 3: Cross multiply
    2,023,203x = 4,272,234 × 4,272,234
  4. Step 4: Simplify right side
    2,023,203x = 18,251,983,350,756
  5. Step 5: Solve for x
    x = 18,251,983,350,756/2,023,203
  6. Step 6: Final answer
    x = 9,021,330.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.