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Finding the Third Proportional to 836,764.50 and 1,829,049

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Solution

The third proportional to 836,764.50 and 1,829,049 is: 3,998,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,764.50 : 1,829,049 = 1,829,049 : x
  2. Step 2: Convert to fraction form
    836,764.50/1,829,049 = 1,829,049/x
  3. Step 3: Cross multiply
    836,764.50x = 1,829,049 × 1,829,049
  4. Step 4: Simplify right side
    836,764.50x = 3,345,420,244,401
  5. Step 5: Solve for x
    x = 3,345,420,244,401/836,764.50
  6. Step 6: Final answer
    x = 3,998,042.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.