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Finding the Third Proportional to 1,766,622 and 3,813,176

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Solution

The third proportional to 1,766,622 and 3,813,176 is: 8,230,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,622 : 3,813,176 = 3,813,176 : x
  2. Step 2: Convert to fraction form
    1,766,622/3,813,176 = 3,813,176/x
  3. Step 3: Cross multiply
    1,766,622x = 3,813,176 × 3,813,176
  4. Step 4: Simplify right side
    1,766,622x = 14,540,311,206,976
  5. Step 5: Solve for x
    x = 14,540,311,206,976/1,766,622
  6. Step 6: Final answer
    x = 8,230,572.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.