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Finding the Third Proportional to 582,624 and 886,099

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Solution

The third proportional to 582,624 and 886,099 is: 1,347,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,624 : 886,099 = 886,099 : x
  2. Step 2: Convert to fraction form
    582,624/886,099 = 886,099/x
  3. Step 3: Cross multiply
    582,624x = 886,099 × 886,099
  4. Step 4: Simplify right side
    582,624x = 785,171,437,801
  5. Step 5: Solve for x
    x = 785,171,437,801/582,624
  6. Step 6: Final answer
    x = 1,347,646.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.