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Finding the Third Proportional to 519,120 and 1,150,968

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Solution

The third proportional to 519,120 and 1,150,968 is: 2,551,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,120 : 1,150,968 = 1,150,968 : x
  2. Step 2: Convert to fraction form
    519,120/1,150,968 = 1,150,968/x
  3. Step 3: Cross multiply
    519,120x = 1,150,968 × 1,150,968
  4. Step 4: Simplify right side
    519,120x = 1,324,727,337,024
  5. Step 5: Solve for x
    x = 1,324,727,337,024/519,120
  6. Step 6: Final answer
    x = 2,551,871.12

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Why These Related Problems?

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