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Finding the Third Proportional to 396,848 and 936,623

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Solution

The third proportional to 396,848 and 936,623 is: 2,210,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,848 : 936,623 = 936,623 : x
  2. Step 2: Convert to fraction form
    396,848/936,623 = 936,623/x
  3. Step 3: Cross multiply
    396,848x = 936,623 × 936,623
  4. Step 4: Simplify right side
    396,848x = 877,262,644,129
  5. Step 5: Solve for x
    x = 877,262,644,129/396,848
  6. Step 6: Final answer
    x = 2,210,575.95

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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.