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Finding the Third Proportional to 600,832 and 1,286,960

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Solution

The third proportional to 600,832 and 1,286,960 is: 2,756,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,832 : 1,286,960 = 1,286,960 : x
  2. Step 2: Convert to fraction form
    600,832/1,286,960 = 1,286,960/x
  3. Step 3: Cross multiply
    600,832x = 1,286,960 × 1,286,960
  4. Step 4: Simplify right side
    600,832x = 1,656,266,041,600
  5. Step 5: Solve for x
    x = 1,656,266,041,600/600,832
  6. Step 6: Final answer
    x = 2,756,620.89

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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.