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Finding the Third Proportional to 600,772 and 1,218,122

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Solution

The third proportional to 600,772 and 1,218,122 is: 2,469,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,772 : 1,218,122 = 1,218,122 : x
  2. Step 2: Convert to fraction form
    600,772/1,218,122 = 1,218,122/x
  3. Step 3: Cross multiply
    600,772x = 1,218,122 × 1,218,122
  4. Step 4: Simplify right side
    600,772x = 1,483,821,206,884
  5. Step 5: Solve for x
    x = 1,483,821,206,884/600,772
  6. Step 6: Final answer
    x = 2,469,857.46

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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.