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Finding the Third Proportional to 501,954 and 1,082,100

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Solution

The third proportional to 501,954 and 1,082,100 is: 2,332,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,954 : 1,082,100 = 1,082,100 : x
  2. Step 2: Convert to fraction form
    501,954/1,082,100 = 1,082,100/x
  3. Step 3: Cross multiply
    501,954x = 1,082,100 × 1,082,100
  4. Step 4: Simplify right side
    501,954x = 1,170,940,410,000
  5. Step 5: Solve for x
    x = 1,170,940,410,000/501,954
  6. Step 6: Final answer
    x = 2,332,764.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.