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Finding the Third Proportional to 396,916 and 936,786

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Solution

The third proportional to 396,916 and 936,786 is: 2,210,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,916 : 936,786 = 936,786 : x
  2. Step 2: Convert to fraction form
    396,916/936,786 = 936,786/x
  3. Step 3: Cross multiply
    396,916x = 936,786 × 936,786
  4. Step 4: Simplify right side
    396,916x = 877,568,009,796
  5. Step 5: Solve for x
    x = 877,568,009,796/396,916
  6. Step 6: Final answer
    x = 2,210,966.58

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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.