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Finding the Third Proportional to 582,289 and 1,234,561

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Solution

The third proportional to 582,289 and 1,234,561 is: 2,617,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,289 : 1,234,561 = 1,234,561 : x
  2. Step 2: Convert to fraction form
    582,289/1,234,561 = 1,234,561/x
  3. Step 3: Cross multiply
    582,289x = 1,234,561 × 1,234,561
  4. Step 4: Simplify right side
    582,289x = 1,524,140,862,721
  5. Step 5: Solve for x
    x = 1,524,140,862,721/582,289
  6. Step 6: Final answer
    x = 2,617,498.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.