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Finding the Third Proportional to 809,792 and 1,777,048

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Solution

The third proportional to 809,792 and 1,777,048 is: 3,899,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,792 : 1,777,048 = 1,777,048 : x
  2. Step 2: Convert to fraction form
    809,792/1,777,048 = 1,777,048/x
  3. Step 3: Cross multiply
    809,792x = 1,777,048 × 1,777,048
  4. Step 4: Simplify right side
    809,792x = 3,157,899,594,304
  5. Step 5: Solve for x
    x = 3,157,899,594,304/809,792
  6. Step 6: Final answer
    x = 3,899,642.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.