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Finding the Third Proportional to 583,941 and 1,267,027

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Solution

The third proportional to 583,941 and 1,267,027 is: 2,749,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,941 : 1,267,027 = 1,267,027 : x
  2. Step 2: Convert to fraction form
    583,941/1,267,027 = 1,267,027/x
  3. Step 3: Cross multiply
    583,941x = 1,267,027 × 1,267,027
  4. Step 4: Simplify right side
    583,941x = 1,605,357,418,729
  5. Step 5: Solve for x
    x = 1,605,357,418,729/583,941
  6. Step 6: Final answer
    x = 2,749,177.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.