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Finding the Third Proportional to 1,164,640.50 and 2,469,249

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Solution

The third proportional to 1,164,640.50 and 2,469,249 is: 5,235,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,640.50 : 2,469,249 = 2,469,249 : x
  2. Step 2: Convert to fraction form
    1,164,640.50/2,469,249 = 2,469,249/x
  3. Step 3: Cross multiply
    1,164,640.50x = 2,469,249 × 2,469,249
  4. Step 4: Simplify right side
    1,164,640.50x = 6,097,190,624,001
  5. Step 5: Solve for x
    x = 6,097,190,624,001/1,164,640.50
  6. Step 6: Final answer
    x = 5,235,255.54

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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.