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Finding the Third Proportional to 523,530 and 1,149,909

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Solution

The third proportional to 523,530 and 1,149,909 is: 2,525,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,530 : 1,149,909 = 1,149,909 : x
  2. Step 2: Convert to fraction form
    523,530/1,149,909 = 1,149,909/x
  3. Step 3: Cross multiply
    523,530x = 1,149,909 × 1,149,909
  4. Step 4: Simplify right side
    523,530x = 1,322,290,708,281
  5. Step 5: Solve for x
    x = 1,322,290,708,281/523,530
  6. Step 6: Final answer
    x = 2,525,720.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.