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Finding the Third Proportional to 800,239.50 and 1,422,851.06

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Solution

The third proportional to 800,239.50 and 1,422,851.06 is: 2,529,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,239.50 : 1,422,851.06 = 1,422,851.06 : x
  2. Step 2: Convert to fraction form
    800,239.50/1,422,851.06 = 1,422,851.06/x
  3. Step 3: Cross multiply
    800,239.50x = 1,422,851.06 × 1,422,851.06
  4. Step 4: Simplify right side
    800,239.50x = 2,024,505,146,057.38
  5. Step 5: Solve for x
    x = 2,024,505,146,057.38/800,239.50
  6. Step 6: Final answer
    x = 2,529,874.05

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.