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Finding the Third Proportional to 1,833,682 and 3,982,900

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Solution

The third proportional to 1,833,682 and 3,982,900 is: 8,651,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,682 : 3,982,900 = 3,982,900 : x
  2. Step 2: Convert to fraction form
    1,833,682/3,982,900 = 3,982,900/x
  3. Step 3: Cross multiply
    1,833,682x = 3,982,900 × 3,982,900
  4. Step 4: Simplify right side
    1,833,682x = 15,863,492,410,000
  5. Step 5: Solve for x
    x = 15,863,492,410,000/1,833,682
  6. Step 6: Final answer
    x = 8,651,168.75

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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.