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Finding the Third Proportional to 600,968 and 1,224,198

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Solution

The third proportional to 600,968 and 1,224,198 is: 2,493,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,968 : 1,224,198 = 1,224,198 : x
  2. Step 2: Convert to fraction form
    600,968/1,224,198 = 1,224,198/x
  3. Step 3: Cross multiply
    600,968x = 1,224,198 × 1,224,198
  4. Step 4: Simplify right side
    600,968x = 1,498,660,743,204
  5. Step 5: Solve for x
    x = 1,498,660,743,204/600,968
  6. Step 6: Final answer
    x = 2,493,744.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.