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Finding the Third Proportional to 600,795 and 1,218,168

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Solution

The third proportional to 600,795 and 1,218,168 is: 2,469,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,795 : 1,218,168 = 1,218,168 : x
  2. Step 2: Convert to fraction form
    600,795/1,218,168 = 1,218,168/x
  3. Step 3: Cross multiply
    600,795x = 1,218,168 × 1,218,168
  4. Step 4: Simplify right side
    600,795x = 1,483,933,276,224
  5. Step 5: Solve for x
    x = 1,483,933,276,224/600,795
  6. Step 6: Final answer
    x = 2,469,949.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.