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Finding the Third Proportional to 1,463,885 and 3,172,097

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Solution

The third proportional to 1,463,885 and 3,172,097 is: 6,873,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,885 : 3,172,097 = 3,172,097 : x
  2. Step 2: Convert to fraction form
    1,463,885/3,172,097 = 3,172,097/x
  3. Step 3: Cross multiply
    1,463,885x = 3,172,097 × 3,172,097
  4. Step 4: Simplify right side
    1,463,885x = 10,062,199,377,409
  5. Step 5: Solve for x
    x = 10,062,199,377,409/1,463,885
  6. Step 6: Final answer
    x = 6,873,626.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.