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Finding the Third Proportional to 2,551,344 and 3,947,976

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Solution

The third proportional to 2,551,344 and 3,947,976 is: 6,109,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551,344 : 3,947,976 = 3,947,976 : x
  2. Step 2: Convert to fraction form
    2,551,344/3,947,976 = 3,947,976/x
  3. Step 3: Cross multiply
    2,551,344x = 3,947,976 × 3,947,976
  4. Step 4: Simplify right side
    2,551,344x = 15,586,514,496,576
  5. Step 5: Solve for x
    x = 15,586,514,496,576/2,551,344
  6. Step 6: Final answer
    x = 6,109,138.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.