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Finding the Third Proportional to 1,766,614 and 3,813,002

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Solution

The third proportional to 1,766,614 and 3,813,002 is: 8,229,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,614 : 3,813,002 = 3,813,002 : x
  2. Step 2: Convert to fraction form
    1,766,614/3,813,002 = 3,813,002/x
  3. Step 3: Cross multiply
    1,766,614x = 3,813,002 × 3,813,002
  4. Step 4: Simplify right side
    1,766,614x = 14,538,984,252,004
  5. Step 5: Solve for x
    x = 14,538,984,252,004/1,766,614
  6. Step 6: Final answer
    x = 8,229,859.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.