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Finding the Third Proportional to 4,808,832 and 7,198,176

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Solution

The third proportional to 4,808,832 and 7,198,176 is: 10,774,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808,832 : 7,198,176 = 7,198,176 : x
  2. Step 2: Convert to fraction form
    4,808,832/7,198,176 = 7,198,176/x
  3. Step 3: Cross multiply
    4,808,832x = 7,198,176 × 7,198,176
  4. Step 4: Simplify right side
    4,808,832x = 51,813,737,726,976
  5. Step 5: Solve for x
    x = 51,813,737,726,976/4,808,832
  6. Step 6: Final answer
    x = 10,774,703.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.