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Finding the Third Proportional to 770,542 and 1,022,427

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Solution

The third proportional to 770,542 and 1,022,427 is: 1,356,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,542 : 1,022,427 = 1,022,427 : x
  2. Step 2: Convert to fraction form
    770,542/1,022,427 = 1,022,427/x
  3. Step 3: Cross multiply
    770,542x = 1,022,427 × 1,022,427
  4. Step 4: Simplify right side
    770,542x = 1,045,356,970,329
  5. Step 5: Solve for x
    x = 1,045,356,970,329/770,542
  6. Step 6: Final answer
    x = 1,356,651.51

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.