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Finding the Third Proportional to 1,577,198 and 2,247,698

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Solution

The third proportional to 1,577,198 and 2,247,698 is: 3,203,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,198 : 2,247,698 = 2,247,698 : x
  2. Step 2: Convert to fraction form
    1,577,198/2,247,698 = 2,247,698/x
  3. Step 3: Cross multiply
    1,577,198x = 2,247,698 × 2,247,698
  4. Step 4: Simplify right side
    1,577,198x = 5,052,146,299,204
  5. Step 5: Solve for x
    x = 5,052,146,299,204/1,577,198
  6. Step 6: Final answer
    x = 3,203,241.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.