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Finding the Third Proportional to 516,285 and 1,094,112

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Solution

The third proportional to 516,285 and 1,094,112 is: 2,318,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,285 : 1,094,112 = 1,094,112 : x
  2. Step 2: Convert to fraction form
    516,285/1,094,112 = 1,094,112/x
  3. Step 3: Cross multiply
    516,285x = 1,094,112 × 1,094,112
  4. Step 4: Simplify right side
    516,285x = 1,197,081,068,544
  5. Step 5: Solve for x
    x = 1,197,081,068,544/516,285
  6. Step 6: Final answer
    x = 2,318,643.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.