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Finding the Third Proportional to 582,274 and 1,267,063

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Solution

The third proportional to 582,274 and 1,267,063 is: 2,757,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,274 : 1,267,063 = 1,267,063 : x
  2. Step 2: Convert to fraction form
    582,274/1,267,063 = 1,267,063/x
  3. Step 3: Cross multiply
    582,274x = 1,267,063 × 1,267,063
  4. Step 4: Simplify right side
    582,274x = 1,605,448,645,969
  5. Step 5: Solve for x
    x = 1,605,448,645,969/582,274
  6. Step 6: Final answer
    x = 2,757,204.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.