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Finding the Third Proportional to 499,101.75 and 1,072,845

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Solution

The third proportional to 499,101.75 and 1,072,845 is: 2,306,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,101.75 : 1,072,845 = 1,072,845 : x
  2. Step 2: Convert to fraction form
    499,101.75/1,072,845 = 1,072,845/x
  3. Step 3: Cross multiply
    499,101.75x = 1,072,845 × 1,072,845
  4. Step 4: Simplify right side
    499,101.75x = 1,150,996,394,025
  5. Step 5: Solve for x
    x = 1,150,996,394,025/499,101.75
  6. Step 6: Final answer
    x = 2,306,135.76

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Why These Related Problems?

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