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Finding the Third Proportional to 1,682,451 and 3,669,409

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Solution

The third proportional to 1,682,451 and 3,669,409 is: 8,002,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,451 : 3,669,409 = 3,669,409 : x
  2. Step 2: Convert to fraction form
    1,682,451/3,669,409 = 3,669,409/x
  3. Step 3: Cross multiply
    1,682,451x = 3,669,409 × 3,669,409
  4. Step 4: Simplify right side
    1,682,451x = 13,464,562,409,281
  5. Step 5: Solve for x
    x = 13,464,562,409,281/1,682,451
  6. Step 6: Final answer
    x = 8,002,944.76

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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.