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Finding the Third Proportional to 2,505,230 and 5,489,251

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Solution

The third proportional to 2,505,230 and 5,489,251 is: 12,027,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,230 : 5,489,251 = 5,489,251 : x
  2. Step 2: Convert to fraction form
    2,505,230/5,489,251 = 5,489,251/x
  3. Step 3: Cross multiply
    2,505,230x = 5,489,251 × 5,489,251
  4. Step 4: Simplify right side
    2,505,230x = 30,131,876,541,001
  5. Step 5: Solve for x
    x = 30,131,876,541,001/2,505,230
  6. Step 6: Final answer
    x = 12,027,588.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.