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Finding the Third Proportional to 519,900 and 1,117,176

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Solution

The third proportional to 519,900 and 1,117,176 is: 2,400,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,900 : 1,117,176 = 1,117,176 : x
  2. Step 2: Convert to fraction form
    519,900/1,117,176 = 1,117,176/x
  3. Step 3: Cross multiply
    519,900x = 1,117,176 × 1,117,176
  4. Step 4: Simplify right side
    519,900x = 1,248,082,214,976
  5. Step 5: Solve for x
    x = 1,248,082,214,976/519,900
  6. Step 6: Final answer
    x = 2,400,619.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.