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Finding the Third Proportional to 820,898 and 1,763,176

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Solution

The third proportional to 820,898 and 1,763,176 is: 3,787,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,898 : 1,763,176 = 1,763,176 : x
  2. Step 2: Convert to fraction form
    820,898/1,763,176 = 1,763,176/x
  3. Step 3: Cross multiply
    820,898x = 1,763,176 × 1,763,176
  4. Step 4: Simplify right side
    820,898x = 3,108,789,606,976
  5. Step 5: Solve for x
    x = 3,108,789,606,976/820,898
  6. Step 6: Final answer
    x = 3,787,059.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.