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Finding the Third Proportional to 534,016 and 1,082,768

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Solution

The third proportional to 534,016 and 1,082,768 is: 2,195,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,016 : 1,082,768 = 1,082,768 : x
  2. Step 2: Convert to fraction form
    534,016/1,082,768 = 1,082,768/x
  3. Step 3: Cross multiply
    534,016x = 1,082,768 × 1,082,768
  4. Step 4: Simplify right side
    534,016x = 1,172,386,541,824
  5. Step 5: Solve for x
    x = 1,172,386,541,824/534,016
  6. Step 6: Final answer
    x = 2,195,414.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.