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Finding the Third Proportional to 580,147.31 and 1,245,997.69

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Solution

The third proportional to 580,147.31 and 1,245,997.69 is: 2,676,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,147.31 : 1,245,997.69 = 1,245,997.69 : x
  2. Step 2: Convert to fraction form
    580,147.31/1,245,997.69 = 1,245,997.69/x
  3. Step 3: Cross multiply
    580,147.31x = 1,245,997.69 × 1,245,997.69
  4. Step 4: Simplify right side
    580,147.31x = 1,552,510,237,255.35
  5. Step 5: Solve for x
    x = 1,552,510,237,255.35/580,147.31
  6. Step 6: Final answer
    x = 2,676,062.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.