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Finding the Third Proportional to 2,324,251 and 5,021,965

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Solution

The third proportional to 2,324,251 and 5,021,965 is: 10,850,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324,251 : 5,021,965 = 5,021,965 : x
  2. Step 2: Convert to fraction form
    2,324,251/5,021,965 = 5,021,965/x
  3. Step 3: Cross multiply
    2,324,251x = 5,021,965 × 5,021,965
  4. Step 4: Simplify right side
    2,324,251x = 25,220,132,461,225
  5. Step 5: Solve for x
    x = 25,220,132,461,225/2,324,251
  6. Step 6: Final answer
    x = 10,850,864.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.