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Finding the Third Proportional to 613,923 and 1,313,103

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Solution

The third proportional to 613,923 and 1,313,103 is: 2,808,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,923 : 1,313,103 = 1,313,103 : x
  2. Step 2: Convert to fraction form
    613,923/1,313,103 = 1,313,103/x
  3. Step 3: Cross multiply
    613,923x = 1,313,103 × 1,313,103
  4. Step 4: Simplify right side
    613,923x = 1,724,239,488,609
  5. Step 5: Solve for x
    x = 1,724,239,488,609/613,923
  6. Step 6: Final answer
    x = 2,808,559.85

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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.