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Finding the Third Proportional to 582,438 and 1,279,080

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Solution

The third proportional to 582,438 and 1,279,080 is: 2,808,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,438 : 1,279,080 = 1,279,080 : x
  2. Step 2: Convert to fraction form
    582,438/1,279,080 = 1,279,080/x
  3. Step 3: Cross multiply
    582,438x = 1,279,080 × 1,279,080
  4. Step 4: Simplify right side
    582,438x = 1,636,045,646,400
  5. Step 5: Solve for x
    x = 1,636,045,646,400/582,438
  6. Step 6: Final answer
    x = 2,808,961.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.