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Finding the Third Proportional to 591,545 and 1,291,198

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Solution

The third proportional to 591,545 and 1,291,198 is: 2,818,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,545 : 1,291,198 = 1,291,198 : x
  2. Step 2: Convert to fraction form
    591,545/1,291,198 = 1,291,198/x
  3. Step 3: Cross multiply
    591,545x = 1,291,198 × 1,291,198
  4. Step 4: Simplify right side
    591,545x = 1,667,192,275,204
  5. Step 5: Solve for x
    x = 1,667,192,275,204/591,545
  6. Step 6: Final answer
    x = 2,818,369.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.