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Finding the Third Proportional to 582,276 and 1,267,067

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Solution

The third proportional to 582,276 and 1,267,067 is: 2,757,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,276 : 1,267,067 = 1,267,067 : x
  2. Step 2: Convert to fraction form
    582,276/1,267,067 = 1,267,067/x
  3. Step 3: Cross multiply
    582,276x = 1,267,067 × 1,267,067
  4. Step 4: Simplify right side
    582,276x = 1,605,458,782,489
  5. Step 5: Solve for x
    x = 1,605,458,782,489/582,276
  6. Step 6: Final answer
    x = 2,757,212.70

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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.