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Finding the Third Proportional to 500,777.44 and 1,109,629.13

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Solution

The third proportional to 500,777.44 and 1,109,629.13 is: 2,458,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,777.44 : 1,109,629.13 = 1,109,629.13 : x
  2. Step 2: Convert to fraction form
    500,777.44/1,109,629.13 = 1,109,629.13/x
  3. Step 3: Cross multiply
    500,777.44x = 1,109,629.13 × 1,109,629.13
  4. Step 4: Simplify right side
    500,777.44x = 1,231,276,795,048.27
  5. Step 5: Solve for x
    x = 1,231,276,795,048.27/500,777.44
  6. Step 6: Final answer
    x = 2,458,730.57

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.