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Finding the Third Proportional to 539,400 and 1,094,112

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Solution

The third proportional to 539,400 and 1,094,112 is: 2,219,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,400 : 1,094,112 = 1,094,112 : x
  2. Step 2: Convert to fraction form
    539,400/1,094,112 = 1,094,112/x
  3. Step 3: Cross multiply
    539,400x = 1,094,112 × 1,094,112
  4. Step 4: Simplify right side
    539,400x = 1,197,081,068,544
  5. Step 5: Solve for x
    x = 1,197,081,068,544/539,400
  6. Step 6: Final answer
    x = 2,219,282.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.