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Finding the Third Proportional to 439,319 and 959,193

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Solution

The third proportional to 439,319 and 959,193 is: 2,094,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,319 : 959,193 = 959,193 : x
  2. Step 2: Convert to fraction form
    439,319/959,193 = 959,193/x
  3. Step 3: Cross multiply
    439,319x = 959,193 × 959,193
  4. Step 4: Simplify right side
    439,319x = 920,051,211,249
  5. Step 5: Solve for x
    x = 920,051,211,249/439,319
  6. Step 6: Final answer
    x = 2,094,266.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.