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Finding the Third Proportional to 621,108 and 874,422

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Solution

The third proportional to 621,108 and 874,422 is: 1,231,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,108 : 874,422 = 874,422 : x
  2. Step 2: Convert to fraction form
    621,108/874,422 = 874,422/x
  3. Step 3: Cross multiply
    621,108x = 874,422 × 874,422
  4. Step 4: Simplify right side
    621,108x = 764,613,834,084
  5. Step 5: Solve for x
    x = 764,613,834,084/621,108
  6. Step 6: Final answer
    x = 1,231,048.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.