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Finding the Third Proportional to 1,682,381 and 3,669,271

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Solution

The third proportional to 1,682,381 and 3,669,271 is: 8,002,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,381 : 3,669,271 = 3,669,271 : x
  2. Step 2: Convert to fraction form
    1,682,381/3,669,271 = 3,669,271/x
  3. Step 3: Cross multiply
    1,682,381x = 3,669,271 × 3,669,271
  4. Step 4: Simplify right side
    1,682,381x = 13,463,549,671,441
  5. Step 5: Solve for x
    x = 13,463,549,671,441/1,682,381
  6. Step 6: Final answer
    x = 8,002,675.77

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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.