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Finding the Third Proportional to 531,242 and 1,150,980

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Solution

The third proportional to 531,242 and 1,150,980 is: 2,493,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,242 : 1,150,980 = 1,150,980 : x
  2. Step 2: Convert to fraction form
    531,242/1,150,980 = 1,150,980/x
  3. Step 3: Cross multiply
    531,242x = 1,150,980 × 1,150,980
  4. Step 4: Simplify right side
    531,242x = 1,324,754,960,400
  5. Step 5: Solve for x
    x = 1,324,754,960,400/531,242
  6. Step 6: Final answer
    x = 2,493,693.95

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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.