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Finding the Third Proportional to 582,122.25 and 1,272,449.25

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Solution

The third proportional to 582,122.25 and 1,272,449.25 is: 2,781,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,122.25 : 1,272,449.25 = 1,272,449.25 : x
  2. Step 2: Convert to fraction form
    582,122.25/1,272,449.25 = 1,272,449.25/x
  3. Step 3: Cross multiply
    582,122.25x = 1,272,449.25 × 1,272,449.25
  4. Step 4: Simplify right side
    582,122.25x = 1,619,127,093,825.56
  5. Step 5: Solve for x
    x = 1,619,127,093,825.56/582,122.25
  6. Step 6: Final answer
    x = 2,781,421.07

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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.