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Finding the Third Proportional to 516,016 and 1,094,728

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Solution

The third proportional to 516,016 and 1,094,728 is: 2,322,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,016 : 1,094,728 = 1,094,728 : x
  2. Step 2: Convert to fraction form
    516,016/1,094,728 = 1,094,728/x
  3. Step 3: Cross multiply
    516,016x = 1,094,728 × 1,094,728
  4. Step 4: Simplify right side
    516,016x = 1,198,429,393,984
  5. Step 5: Solve for x
    x = 1,198,429,393,984/516,016
  6. Step 6: Final answer
    x = 2,322,465.57

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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.