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Finding the Third Proportional to 968,296 and 2,250,100

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Solution

The third proportional to 968,296 and 2,250,100 is: 5,228,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,296 : 2,250,100 = 2,250,100 : x
  2. Step 2: Convert to fraction form
    968,296/2,250,100 = 2,250,100/x
  3. Step 3: Cross multiply
    968,296x = 2,250,100 × 2,250,100
  4. Step 4: Simplify right side
    968,296x = 5,062,950,010,000
  5. Step 5: Solve for x
    x = 5,062,950,010,000/968,296
  6. Step 6: Final answer
    x = 5,228,721.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.