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Finding the Third Proportional to 396,912 and 936,776

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Solution

The third proportional to 396,912 and 936,776 is: 2,210,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,912 : 936,776 = 936,776 : x
  2. Step 2: Convert to fraction form
    396,912/936,776 = 936,776/x
  3. Step 3: Cross multiply
    396,912x = 936,776 × 936,776
  4. Step 4: Simplify right side
    396,912x = 877,549,274,176
  5. Step 5: Solve for x
    x = 877,549,274,176/396,912
  6. Step 6: Final answer
    x = 2,210,941.66

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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.