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Finding the Third Proportional to 394,154 and 893,531

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Solution

The third proportional to 394,154 and 893,531 is: 2,025,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,154 : 893,531 = 893,531 : x
  2. Step 2: Convert to fraction form
    394,154/893,531 = 893,531/x
  3. Step 3: Cross multiply
    394,154x = 893,531 × 893,531
  4. Step 4: Simplify right side
    394,154x = 798,397,647,961
  5. Step 5: Solve for x
    x = 798,397,647,961/394,154
  6. Step 6: Final answer
    x = 2,025,598.24

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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.