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Finding the Third Proportional to 600,768 and 1,218,114

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Solution

The third proportional to 600,768 and 1,218,114 is: 2,469,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,768 : 1,218,114 = 1,218,114 : x
  2. Step 2: Convert to fraction form
    600,768/1,218,114 = 1,218,114/x
  3. Step 3: Cross multiply
    600,768x = 1,218,114 × 1,218,114
  4. Step 4: Simplify right side
    600,768x = 1,483,801,716,996
  5. Step 5: Solve for x
    x = 1,483,801,716,996/600,768
  6. Step 6: Final answer
    x = 2,469,841.46

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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.