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Finding the Third Proportional to 394,158 and 893,533

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Solution

The third proportional to 394,158 and 893,533 is: 2,025,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,158 : 893,533 = 893,533 : x
  2. Step 2: Convert to fraction form
    394,158/893,533 = 893,533/x
  3. Step 3: Cross multiply
    394,158x = 893,533 × 893,533
  4. Step 4: Simplify right side
    394,158x = 798,401,222,089
  5. Step 5: Solve for x
    x = 798,401,222,089/394,158
  6. Step 6: Final answer
    x = 2,025,586.75

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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.