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Finding the Third Proportional to 582,122 and 869,589

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Solution

The third proportional to 582,122 and 869,589 is: 1,299,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,122 : 869,589 = 869,589 : x
  2. Step 2: Convert to fraction form
    582,122/869,589 = 869,589/x
  3. Step 3: Cross multiply
    582,122x = 869,589 × 869,589
  4. Step 4: Simplify right side
    582,122x = 756,185,028,921
  5. Step 5: Solve for x
    x = 756,185,028,921/582,122
  6. Step 6: Final answer
    x = 1,299,014.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.