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Finding the Third Proportional to 853,932 and 1,858,200

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Solution

The third proportional to 853,932 and 1,858,200 is: 4,043,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,932 : 1,858,200 = 1,858,200 : x
  2. Step 2: Convert to fraction form
    853,932/1,858,200 = 1,858,200/x
  3. Step 3: Cross multiply
    853,932x = 1,858,200 × 1,858,200
  4. Step 4: Simplify right side
    853,932x = 3,452,907,240,000
  5. Step 5: Solve for x
    x = 3,452,907,240,000/853,932
  6. Step 6: Final answer
    x = 4,043,538.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.