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Finding the Third Proportional to 853,198 and 1,836,458

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Solution

The third proportional to 853,198 and 1,836,458 is: 3,952,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,198 : 1,836,458 = 1,836,458 : x
  2. Step 2: Convert to fraction form
    853,198/1,836,458 = 1,836,458/x
  3. Step 3: Cross multiply
    853,198x = 1,836,458 × 1,836,458
  4. Step 4: Simplify right side
    853,198x = 3,372,577,985,764
  5. Step 5: Solve for x
    x = 3,372,577,985,764/853,198
  6. Step 6: Final answer
    x = 3,952,866.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.