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Finding the Third Proportional to 582,667 and 1,246,289

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Solution

The third proportional to 582,667 and 1,246,289 is: 2,665,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,667 : 1,246,289 = 1,246,289 : x
  2. Step 2: Convert to fraction form
    582,667/1,246,289 = 1,246,289/x
  3. Step 3: Cross multiply
    582,667x = 1,246,289 × 1,246,289
  4. Step 4: Simplify right side
    582,667x = 1,553,236,271,521
  5. Step 5: Solve for x
    x = 1,553,236,271,521/582,667
  6. Step 6: Final answer
    x = 2,665,735.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.