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Finding the Third Proportional to 531,204 and 1,150,912

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Solution

The third proportional to 531,204 and 1,150,912 is: 2,493,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,204 : 1,150,912 = 1,150,912 : x
  2. Step 2: Convert to fraction form
    531,204/1,150,912 = 1,150,912/x
  3. Step 3: Cross multiply
    531,204x = 1,150,912 × 1,150,912
  4. Step 4: Simplify right side
    531,204x = 1,324,598,431,744
  5. Step 5: Solve for x
    x = 1,324,598,431,744/531,204
  6. Step 6: Final answer
    x = 2,493,577.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.