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Finding the Third Proportional to 533,376 and 1,138,176

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Solution

The third proportional to 533,376 and 1,138,176 is: 2,428,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,376 : 1,138,176 = 1,138,176 : x
  2. Step 2: Convert to fraction form
    533,376/1,138,176 = 1,138,176/x
  3. Step 3: Cross multiply
    533,376x = 1,138,176 × 1,138,176
  4. Step 4: Simplify right side
    533,376x = 1,295,444,606,976
  5. Step 5: Solve for x
    x = 1,295,444,606,976/533,376
  6. Step 6: Final answer
    x = 2,428,764.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.