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Finding the Third Proportional to 1,747,928 and 3,813,606

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Solution

The third proportional to 1,747,928 and 3,813,606 is: 8,320,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,928 : 3,813,606 = 3,813,606 : x
  2. Step 2: Convert to fraction form
    1,747,928/3,813,606 = 3,813,606/x
  3. Step 3: Cross multiply
    1,747,928x = 3,813,606 × 3,813,606
  4. Step 4: Simplify right side
    1,747,928x = 14,543,590,723,236
  5. Step 5: Solve for x
    x = 14,543,590,723,236/1,747,928
  6. Step 6: Final answer
    x = 8,320,474.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.