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Finding the Third Proportional to 2,412,227 and 5,022,944

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Solution

The third proportional to 2,412,227 and 5,022,944 is: 10,459,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412,227 : 5,022,944 = 5,022,944 : x
  2. Step 2: Convert to fraction form
    2,412,227/5,022,944 = 5,022,944/x
  3. Step 3: Cross multiply
    2,412,227x = 5,022,944 × 5,022,944
  4. Step 4: Simplify right side
    2,412,227x = 25,229,966,427,136
  5. Step 5: Solve for x
    x = 25,229,966,427,136/2,412,227
  6. Step 6: Final answer
    x = 10,459,200.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.