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Finding the Third Proportional to 1,940,967 and 4,082,721

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Solution

The third proportional to 1,940,967 and 4,082,721 is: 8,587,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,967 : 4,082,721 = 4,082,721 : x
  2. Step 2: Convert to fraction form
    1,940,967/4,082,721 = 4,082,721/x
  3. Step 3: Cross multiply
    1,940,967x = 4,082,721 × 4,082,721
  4. Step 4: Simplify right side
    1,940,967x = 16,668,610,763,841
  5. Step 5: Solve for x
    x = 16,668,610,763,841/1,940,967
  6. Step 6: Final answer
    x = 8,587,786.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.