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Finding the Third Proportional to 853,936 and 1,858,208

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Solution

The third proportional to 853,936 and 1,858,208 is: 4,043,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,936 : 1,858,208 = 1,858,208 : x
  2. Step 2: Convert to fraction form
    853,936/1,858,208 = 1,858,208/x
  3. Step 3: Cross multiply
    853,936x = 1,858,208 × 1,858,208
  4. Step 4: Simplify right side
    853,936x = 3,452,936,971,264
  5. Step 5: Solve for x
    x = 3,452,936,971,264/853,936
  6. Step 6: Final answer
    x = 4,043,554.75

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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.