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Finding the Third Proportional to 517,093.88 and 1,097,610.75

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Solution

The third proportional to 517,093.88 and 1,097,610.75 is: 2,329,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,093.88 : 1,097,610.75 = 1,097,610.75 : x
  2. Step 2: Convert to fraction form
    517,093.88/1,097,610.75 = 1,097,610.75/x
  3. Step 3: Cross multiply
    517,093.88x = 1,097,610.75 × 1,097,610.75
  4. Step 4: Simplify right side
    517,093.88x = 1,204,749,358,515.56
  5. Step 5: Solve for x
    x = 1,204,749,358,515.56/517,093.88
  6. Step 6: Final answer
    x = 2,329,846.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.