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Finding the Third Proportional to 1,228,638 and 2,555,367

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Solution

The third proportional to 1,228,638 and 2,555,367 is: 5,314,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,638 : 2,555,367 = 2,555,367 : x
  2. Step 2: Convert to fraction form
    1,228,638/2,555,367 = 2,555,367/x
  3. Step 3: Cross multiply
    1,228,638x = 2,555,367 × 2,555,367
  4. Step 4: Simplify right side
    1,228,638x = 6,529,900,504,689
  5. Step 5: Solve for x
    x = 6,529,900,504,689/1,228,638
  6. Step 6: Final answer
    x = 5,314,747.31

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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.