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Finding the Third Proportional to 3,669,655 and 5,664,782

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Solution

The third proportional to 3,669,655 and 5,664,782 is: 8,744,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,655 : 5,664,782 = 5,664,782 : x
  2. Step 2: Convert to fraction form
    3,669,655/5,664,782 = 5,664,782/x
  3. Step 3: Cross multiply
    3,669,655x = 5,664,782 × 5,664,782
  4. Step 4: Simplify right side
    3,669,655x = 32,089,755,107,524
  5. Step 5: Solve for x
    x = 32,089,755,107,524/3,669,655
  6. Step 6: Final answer
    x = 8,744,624.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.