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Finding the Third Proportional to 1,682,480 and 3,669,469

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Solution

The third proportional to 1,682,480 and 3,669,469 is: 8,003,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,480 : 3,669,469 = 3,669,469 : x
  2. Step 2: Convert to fraction form
    1,682,480/3,669,469 = 3,669,469/x
  3. Step 3: Cross multiply
    1,682,480x = 3,669,469 × 3,669,469
  4. Step 4: Simplify right side
    1,682,480x = 13,465,002,741,961
  5. Step 5: Solve for x
    x = 13,465,002,741,961/1,682,480
  6. Step 6: Final answer
    x = 8,003,068.53

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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.