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Finding the Third Proportional to 582,356 and 1,234,686

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Solution

The third proportional to 582,356 and 1,234,686 is: 2,617,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,356 : 1,234,686 = 1,234,686 : x
  2. Step 2: Convert to fraction form
    582,356/1,234,686 = 1,234,686/x
  3. Step 3: Cross multiply
    582,356x = 1,234,686 × 1,234,686
  4. Step 4: Simplify right side
    582,356x = 1,524,449,518,596
  5. Step 5: Solve for x
    x = 1,524,449,518,596/582,356
  6. Step 6: Final answer
    x = 2,617,727.85

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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.