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Finding the Third Proportional to 582,076.13 and 1,272,408.75

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Solution

The third proportional to 582,076.13 and 1,272,408.75 is: 2,781,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,076.13 : 1,272,408.75 = 1,272,408.75 : x
  2. Step 2: Convert to fraction form
    582,076.13/1,272,408.75 = 1,272,408.75/x
  3. Step 3: Cross multiply
    582,076.13x = 1,272,408.75 × 1,272,408.75
  4. Step 4: Simplify right side
    582,076.13x = 1,619,024,027,076.56
  5. Step 5: Solve for x
    x = 1,619,024,027,076.56/582,076.13
  6. Step 6: Final answer
    x = 2,781,464.41

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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.