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Finding the Third Proportional to 1,682,447 and 3,669,401

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Solution

The third proportional to 1,682,447 and 3,669,401 is: 8,002,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,447 : 3,669,401 = 3,669,401 : x
  2. Step 2: Convert to fraction form
    1,682,447/3,669,401 = 3,669,401/x
  3. Step 3: Cross multiply
    1,682,447x = 3,669,401 × 3,669,401
  4. Step 4: Simplify right side
    1,682,447x = 13,464,503,698,801
  5. Step 5: Solve for x
    x = 13,464,503,698,801/1,682,447
  6. Step 6: Final answer
    x = 8,002,928.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.