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Finding the Third Proportional to 769,772 and 1,108,820

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Solution

The third proportional to 769,772 and 1,108,820 is: 1,597,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,772 : 1,108,820 = 1,108,820 : x
  2. Step 2: Convert to fraction form
    769,772/1,108,820 = 1,108,820/x
  3. Step 3: Cross multiply
    769,772x = 1,108,820 × 1,108,820
  4. Step 4: Simplify right side
    769,772x = 1,229,481,792,400
  5. Step 5: Solve for x
    x = 1,229,481,792,400/769,772
  6. Step 6: Final answer
    x = 1,597,202.54

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.