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Finding the Third Proportional to 582,984 and 1,274,976

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Solution

The third proportional to 582,984 and 1,274,976 is: 2,788,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,984 : 1,274,976 = 1,274,976 : x
  2. Step 2: Convert to fraction form
    582,984/1,274,976 = 1,274,976/x
  3. Step 3: Cross multiply
    582,984x = 1,274,976 × 1,274,976
  4. Step 4: Simplify right side
    582,984x = 1,625,563,800,576
  5. Step 5: Solve for x
    x = 1,625,563,800,576/582,984
  6. Step 6: Final answer
    x = 2,788,350.62

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