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Finding the Third Proportional to 582,828 and 886,334

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Solution

The third proportional to 582,828 and 886,334 is: 1,347,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,828 : 886,334 = 886,334 : x
  2. Step 2: Convert to fraction form
    582,828/886,334 = 886,334/x
  3. Step 3: Cross multiply
    582,828x = 886,334 × 886,334
  4. Step 4: Simplify right side
    582,828x = 785,587,959,556
  5. Step 5: Solve for x
    x = 785,587,959,556/582,828
  6. Step 6: Final answer
    x = 1,347,889.87

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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.