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Finding the Third Proportional to 517,570.50 and 1,131,096

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Solution

The third proportional to 517,570.50 and 1,131,096 is: 2,471,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,570.50 : 1,131,096 = 1,131,096 : x
  2. Step 2: Convert to fraction form
    517,570.50/1,131,096 = 1,131,096/x
  3. Step 3: Cross multiply
    517,570.50x = 1,131,096 × 1,131,096
  4. Step 4: Simplify right side
    517,570.50x = 1,279,378,161,216
  5. Step 5: Solve for x
    x = 1,279,378,161,216/517,570.50
  6. Step 6: Final answer
    x = 2,471,891.58

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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.