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Finding the Third Proportional to 853,224.75 and 1,824,546.38

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Solution

The third proportional to 853,224.75 and 1,824,546.38 is: 3,901,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,224.75 : 1,824,546.38 = 1,824,546.38 : x
  2. Step 2: Convert to fraction form
    853,224.75/1,824,546.38 = 1,824,546.38/x
  3. Step 3: Cross multiply
    853,224.75x = 1,824,546.38 × 1,824,546.38
  4. Step 4: Simplify right side
    853,224.75x = 3,328,969,474,525.64
  5. Step 5: Solve for x
    x = 3,328,969,474,525.64/853,224.75
  6. Step 6: Final answer
    x = 3,901,632.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.