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Finding the Third Proportional to 582,396 and 1,272,564

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Solution

The third proportional to 582,396 and 1,272,564 is: 2,780,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,396 : 1,272,564 = 1,272,564 : x
  2. Step 2: Convert to fraction form
    582,396/1,272,564 = 1,272,564/x
  3. Step 3: Cross multiply
    582,396x = 1,272,564 × 1,272,564
  4. Step 4: Simplify right side
    582,396x = 1,619,419,134,096
  5. Step 5: Solve for x
    x = 1,619,419,134,096/582,396
  6. Step 6: Final answer
    x = 2,780,615.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.