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Finding the Third Proportional to 821,227.50 and 1,763,289

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Solution

The third proportional to 821,227.50 and 1,763,289 is: 3,786,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,227.50 : 1,763,289 = 1,763,289 : x
  2. Step 2: Convert to fraction form
    821,227.50/1,763,289 = 1,763,289/x
  3. Step 3: Cross multiply
    821,227.50x = 1,763,289 × 1,763,289
  4. Step 4: Simplify right side
    821,227.50x = 3,109,188,097,521
  5. Step 5: Solve for x
    x = 3,109,188,097,521/821,227.50
  6. Step 6: Final answer
    x = 3,786,025.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.