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Finding the Third Proportional to 582,420 and 1,272,600

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Solution

The third proportional to 582,420 and 1,272,600 is: 2,780,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,420 : 1,272,600 = 1,272,600 : x
  2. Step 2: Convert to fraction form
    582,420/1,272,600 = 1,272,600/x
  3. Step 3: Cross multiply
    582,420x = 1,272,600 × 1,272,600
  4. Step 4: Simplify right side
    582,420x = 1,619,510,760,000
  5. Step 5: Solve for x
    x = 1,619,510,760,000/582,420
  6. Step 6: Final answer
    x = 2,780,657.88

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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.