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Finding the Third Proportional to 552,097.50 and 1,191,186.75

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Solution

The third proportional to 552,097.50 and 1,191,186.75 is: 2,570,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,097.50 : 1,191,186.75 = 1,191,186.75 : x
  2. Step 2: Convert to fraction form
    552,097.50/1,191,186.75 = 1,191,186.75/x
  3. Step 3: Cross multiply
    552,097.50x = 1,191,186.75 × 1,191,186.75
  4. Step 4: Simplify right side
    552,097.50x = 1,418,925,873,375.56
  5. Step 5: Solve for x
    x = 1,418,925,873,375.56/552,097.50
  6. Step 6: Final answer
    x = 2,570,063.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.