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Finding the Third Proportional to 3,723,736 and 5,693,910

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Solution

The third proportional to 3,723,736 and 5,693,910 is: 8,706,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723,736 : 5,693,910 = 5,693,910 : x
  2. Step 2: Convert to fraction form
    3,723,736/5,693,910 = 5,693,910/x
  3. Step 3: Cross multiply
    3,723,736x = 5,693,910 × 5,693,910
  4. Step 4: Simplify right side
    3,723,736x = 32,420,611,088,100
  5. Step 5: Solve for x
    x = 32,420,611,088,100/3,723,736
  6. Step 6: Final answer
    x = 8,706,474.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.