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Finding the Third Proportional to 820,800 and 1,792,128

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Solution

The third proportional to 820,800 and 1,792,128 is: 3,912,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,800 : 1,792,128 = 1,792,128 : x
  2. Step 2: Convert to fraction form
    820,800/1,792,128 = 1,792,128/x
  3. Step 3: Cross multiply
    820,800x = 1,792,128 × 1,792,128
  4. Step 4: Simplify right side
    820,800x = 3,211,722,768,384
  5. Step 5: Solve for x
    x = 3,211,722,768,384/820,800
  6. Step 6: Final answer
    x = 3,912,917.60

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