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Finding the Third Proportional to 1,100,847 and 2,232,675

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Solution

The third proportional to 1,100,847 and 2,232,675 is: 4,528,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,847 : 2,232,675 = 2,232,675 : x
  2. Step 2: Convert to fraction form
    1,100,847/2,232,675 = 2,232,675/x
  3. Step 3: Cross multiply
    1,100,847x = 2,232,675 × 2,232,675
  4. Step 4: Simplify right side
    1,100,847x = 4,984,837,655,625
  5. Step 5: Solve for x
    x = 4,984,837,655,625/1,100,847
  6. Step 6: Final answer
    x = 4,528,183.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.