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Finding the Third Proportional to 600,822 and 1,286,936

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Solution

The third proportional to 600,822 and 1,286,936 is: 2,756,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,822 : 1,286,936 = 1,286,936 : x
  2. Step 2: Convert to fraction form
    600,822/1,286,936 = 1,286,936/x
  3. Step 3: Cross multiply
    600,822x = 1,286,936 × 1,286,936
  4. Step 4: Simplify right side
    600,822x = 1,656,204,268,096
  5. Step 5: Solve for x
    x = 1,656,204,268,096/600,822
  6. Step 6: Final answer
    x = 2,756,563.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.