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Finding the Third Proportional to 3,685,982 and 5,769,600

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Solution

The third proportional to 3,685,982 and 5,769,600 is: 9,031,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685,982 : 5,769,600 = 5,769,600 : x
  2. Step 2: Convert to fraction form
    3,685,982/5,769,600 = 5,769,600/x
  3. Step 3: Cross multiply
    3,685,982x = 5,769,600 × 5,769,600
  4. Step 4: Simplify right side
    3,685,982x = 33,288,284,160,000
  5. Step 5: Solve for x
    x = 33,288,284,160,000/3,685,982
  6. Step 6: Final answer
    x = 9,031,049.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.