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Finding the Third Proportional to 509,056 and 1,150,112

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Solution

The third proportional to 509,056 and 1,150,112 is: 2,598,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,056 : 1,150,112 = 1,150,112 : x
  2. Step 2: Convert to fraction form
    509,056/1,150,112 = 1,150,112/x
  3. Step 3: Cross multiply
    509,056x = 1,150,112 × 1,150,112
  4. Step 4: Simplify right side
    509,056x = 1,322,757,612,544
  5. Step 5: Solve for x
    x = 1,322,757,612,544/509,056
  6. Step 6: Final answer
    x = 2,598,452.06

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.