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Finding the Third Proportional to 820,804 and 1,792,136

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Solution

The third proportional to 820,804 and 1,792,136 is: 3,912,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,804 : 1,792,136 = 1,792,136 : x
  2. Step 2: Convert to fraction form
    820,804/1,792,136 = 1,792,136/x
  3. Step 3: Cross multiply
    820,804x = 1,792,136 × 1,792,136
  4. Step 4: Simplify right side
    820,804x = 3,211,751,442,496
  5. Step 5: Solve for x
    x = 3,211,751,442,496/820,804
  6. Step 6: Final answer
    x = 3,912,933.47

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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.