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Finding the Third Proportional to 398,935 and 853,906

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Solution

The third proportional to 398,935 and 853,906 is: 1,827,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,935 : 853,906 = 853,906 : x
  2. Step 2: Convert to fraction form
    398,935/853,906 = 853,906/x
  3. Step 3: Cross multiply
    398,935x = 853,906 × 853,906
  4. Step 4: Simplify right side
    398,935x = 729,155,456,836
  5. Step 5: Solve for x
    x = 729,155,456,836/398,935
  6. Step 6: Final answer
    x = 1,827,755.04

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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.