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Finding the Third Proportional to 424,942 and 978,622

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Solution

The third proportional to 424,942 and 978,622 is: 2,253,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,942 : 978,622 = 978,622 : x
  2. Step 2: Convert to fraction form
    424,942/978,622 = 978,622/x
  3. Step 3: Cross multiply
    424,942x = 978,622 × 978,622
  4. Step 4: Simplify right side
    424,942x = 957,701,018,884
  5. Step 5: Solve for x
    x = 957,701,018,884/424,942
  6. Step 6: Final answer
    x = 2,253,721.73

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.