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Finding the Third Proportional to 424,667 and 920,182

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Solution

The third proportional to 424,667 and 920,182 is: 1,993,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,667 : 920,182 = 920,182 : x
  2. Step 2: Convert to fraction form
    424,667/920,182 = 920,182/x
  3. Step 3: Cross multiply
    424,667x = 920,182 × 920,182
  4. Step 4: Simplify right side
    424,667x = 846,734,913,124
  5. Step 5: Solve for x
    x = 846,734,913,124/424,667
  6. Step 6: Final answer
    x = 1,993,879.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.