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Finding the Third Proportional to 519,116 and 1,150,960

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Solution

The third proportional to 519,116 and 1,150,960 is: 2,551,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,116 : 1,150,960 = 1,150,960 : x
  2. Step 2: Convert to fraction form
    519,116/1,150,960 = 1,150,960/x
  3. Step 3: Cross multiply
    519,116x = 1,150,960 × 1,150,960
  4. Step 4: Simplify right side
    519,116x = 1,324,708,921,600
  5. Step 5: Solve for x
    x = 1,324,708,921,600/519,116
  6. Step 6: Final answer
    x = 2,551,855.31

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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.