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Finding the Third Proportional to 2,806,769 and 5,906,947

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Solution

The third proportional to 2,806,769 and 5,906,947 is: 12,431,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806,769 : 5,906,947 = 5,906,947 : x
  2. Step 2: Convert to fraction form
    2,806,769/5,906,947 = 5,906,947/x
  3. Step 3: Cross multiply
    2,806,769x = 5,906,947 × 5,906,947
  4. Step 4: Simplify right side
    2,806,769x = 34,892,022,860,809
  5. Step 5: Solve for x
    x = 34,892,022,860,809/2,806,769
  6. Step 6: Final answer
    x = 12,431,383.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.