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Finding the Third Proportional to 777,797.44 and 1,177,562.81

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Solution

The third proportional to 777,797.44 and 1,177,562.81 is: 1,782,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,797.44 : 1,177,562.81 = 1,177,562.81 : x
  2. Step 2: Convert to fraction form
    777,797.44/1,177,562.81 = 1,177,562.81/x
  3. Step 3: Cross multiply
    777,797.44x = 1,177,562.81 × 1,177,562.81
  4. Step 4: Simplify right side
    777,797.44x = 1,386,654,177,382.91
  5. Step 5: Solve for x
    x = 1,386,654,177,382.91/777,797.44
  6. Step 6: Final answer
    x = 1,782,796.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.