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Finding the Third Proportional to 2,324,840 and 5,005,912

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Solution

The third proportional to 2,324,840 and 5,005,912 is: 10,778,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324,840 : 5,005,912 = 5,005,912 : x
  2. Step 2: Convert to fraction form
    2,324,840/5,005,912 = 5,005,912/x
  3. Step 3: Cross multiply
    2,324,840x = 5,005,912 × 5,005,912
  4. Step 4: Simplify right side
    2,324,840x = 25,059,154,951,744
  5. Step 5: Solve for x
    x = 25,059,154,951,744/2,324,840
  6. Step 6: Final answer
    x = 10,778,872.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.