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Finding the Third Proportional to 396,850 and 936,628

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Solution

The third proportional to 396,850 and 936,628 is: 2,210,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,850 : 936,628 = 936,628 : x
  2. Step 2: Convert to fraction form
    396,850/936,628 = 936,628/x
  3. Step 3: Cross multiply
    396,850x = 936,628 × 936,628
  4. Step 4: Simplify right side
    396,850x = 877,272,010,384
  5. Step 5: Solve for x
    x = 877,272,010,384/396,850
  6. Step 6: Final answer
    x = 2,210,588.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.