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Finding the Third Proportional to 3,677,736 and 5,709,061

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Solution

The third proportional to 3,677,736 and 5,709,061 is: 8,862,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,736 : 5,709,061 = 5,709,061 : x
  2. Step 2: Convert to fraction form
    3,677,736/5,709,061 = 5,709,061/x
  3. Step 3: Cross multiply
    3,677,736x = 5,709,061 × 5,709,061
  4. Step 4: Simplify right side
    3,677,736x = 32,593,377,501,721
  5. Step 5: Solve for x
    x = 32,593,377,501,721/3,677,736
  6. Step 6: Final answer
    x = 8,862,348.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.