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Finding the Third Proportional to 2,218,215 and 4,541,325

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Solution

The third proportional to 2,218,215 and 4,541,325 is: 9,297,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218,215 : 4,541,325 = 4,541,325 : x
  2. Step 2: Convert to fraction form
    2,218,215/4,541,325 = 4,541,325/x
  3. Step 3: Cross multiply
    2,218,215x = 4,541,325 × 4,541,325
  4. Step 4: Simplify right side
    2,218,215x = 20,623,632,755,625
  5. Step 5: Solve for x
    x = 20,623,632,755,625/2,218,215
  6. Step 6: Final answer
    x = 9,297,400.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.