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Finding the Third Proportional to 394,068 and 854,184

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Solution

The third proportional to 394,068 and 854,184 is: 1,851,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,068 : 854,184 = 854,184 : x
  2. Step 2: Convert to fraction form
    394,068/854,184 = 854,184/x
  3. Step 3: Cross multiply
    394,068x = 854,184 × 854,184
  4. Step 4: Simplify right side
    394,068x = 729,630,305,856
  5. Step 5: Solve for x
    x = 729,630,305,856/394,068
  6. Step 6: Final answer
    x = 1,851,534.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.