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Finding the Third Proportional to 3,662,682 and 5,384,400

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Solution

The third proportional to 3,662,682 and 5,384,400 is: 7,915,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662,682 : 5,384,400 = 5,384,400 : x
  2. Step 2: Convert to fraction form
    3,662,682/5,384,400 = 5,384,400/x
  3. Step 3: Cross multiply
    3,662,682x = 5,384,400 × 5,384,400
  4. Step 4: Simplify right side
    3,662,682x = 28,991,763,360,000
  5. Step 5: Solve for x
    x = 28,991,763,360,000/3,662,682
  6. Step 6: Final answer
    x = 7,915,446.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.