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Finding the Third Proportional to 519,118 and 1,150,964

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Solution

The third proportional to 519,118 and 1,150,964 is: 2,551,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,118 : 1,150,964 = 1,150,964 : x
  2. Step 2: Convert to fraction form
    519,118/1,150,964 = 1,150,964/x
  3. Step 3: Cross multiply
    519,118x = 1,150,964 × 1,150,964
  4. Step 4: Simplify right side
    519,118x = 1,324,718,129,296
  5. Step 5: Solve for x
    x = 1,324,718,129,296/519,118
  6. Step 6: Final answer
    x = 2,551,863.22

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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.