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Finding the Third Proportional to 533,927 and 1,135,678

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Solution

The third proportional to 533,927 and 1,135,678 is: 2,415,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,927 : 1,135,678 = 1,135,678 : x
  2. Step 2: Convert to fraction form
    533,927/1,135,678 = 1,135,678/x
  3. Step 3: Cross multiply
    533,927x = 1,135,678 × 1,135,678
  4. Step 4: Simplify right side
    533,927x = 1,289,764,519,684
  5. Step 5: Solve for x
    x = 1,289,764,519,684/533,927
  6. Step 6: Final answer
    x = 2,415,619.59

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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.