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Finding the Third Proportional to 538,488 and 1,094,634

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Solution

The third proportional to 538,488 and 1,094,634 is: 2,225,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,488 : 1,094,634 = 1,094,634 : x
  2. Step 2: Convert to fraction form
    538,488/1,094,634 = 1,094,634/x
  3. Step 3: Cross multiply
    538,488x = 1,094,634 × 1,094,634
  4. Step 4: Simplify right side
    538,488x = 1,198,223,593,956
  5. Step 5: Solve for x
    x = 1,198,223,593,956/538,488
  6. Step 6: Final answer
    x = 2,225,163.04

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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.