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Finding the Third Proportional to 582,192 and 1,278,648

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Solution

The third proportional to 582,192 and 1,278,648 is: 2,808,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,192 : 1,278,648 = 1,278,648 : x
  2. Step 2: Convert to fraction form
    582,192/1,278,648 = 1,278,648/x
  3. Step 3: Cross multiply
    582,192x = 1,278,648 × 1,278,648
  4. Step 4: Simplify right side
    582,192x = 1,634,940,707,904
  5. Step 5: Solve for x
    x = 1,634,940,707,904/582,192
  6. Step 6: Final answer
    x = 2,808,250.04

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