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Finding the Third Proportional to 394,176 and 893,578

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Solution

The third proportional to 394,176 and 893,578 is: 2,025,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,176 : 893,578 = 893,578 : x
  2. Step 2: Convert to fraction form
    394,176/893,578 = 893,578/x
  3. Step 3: Cross multiply
    394,176x = 893,578 × 893,578
  4. Step 4: Simplify right side
    394,176x = 798,481,642,084
  5. Step 5: Solve for x
    x = 798,481,642,084/394,176
  6. Step 6: Final answer
    x = 2,025,698.27

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.