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Finding the Third Proportional to 1,646,871 and 3,568,611

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Solution

The third proportional to 1,646,871 and 3,568,611 is: 7,732,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,871 : 3,568,611 = 3,568,611 : x
  2. Step 2: Convert to fraction form
    1,646,871/3,568,611 = 3,568,611/x
  3. Step 3: Cross multiply
    1,646,871x = 3,568,611 × 3,568,611
  4. Step 4: Simplify right side
    1,646,871x = 12,734,984,469,321
  5. Step 5: Solve for x
    x = 12,734,984,469,321/1,646,871
  6. Step 6: Final answer
    x = 7,732,836.68

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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.