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Finding the Third Proportional to 533,100 and 1,103,927

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Solution

The third proportional to 533,100 and 1,103,927 is: 2,285,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,100 : 1,103,927 = 1,103,927 : x
  2. Step 2: Convert to fraction form
    533,100/1,103,927 = 1,103,927/x
  3. Step 3: Cross multiply
    533,100x = 1,103,927 × 1,103,927
  4. Step 4: Simplify right side
    533,100x = 1,218,654,821,329
  5. Step 5: Solve for x
    x = 1,218,654,821,329/533,100
  6. Step 6: Final answer
    x = 2,285,977.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.