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Finding the Third Proportional to 501,276.16 and 1,082,452.44

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Solution

The third proportional to 501,276.16 and 1,082,452.44 is: 2,337,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,276.16 : 1,082,452.44 = 1,082,452.44 : x
  2. Step 2: Convert to fraction form
    501,276.16/1,082,452.44 = 1,082,452.44/x
  3. Step 3: Cross multiply
    501,276.16x = 1,082,452.44 × 1,082,452.44
  4. Step 4: Simplify right side
    501,276.16x = 1,171,703,279,449.69
  5. Step 5: Solve for x
    x = 1,171,703,279,449.69/501,276.16
  6. Step 6: Final answer
    x = 2,337,440.68

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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.