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Finding the Third Proportional to 533,692 and 1,275,666

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Solution

The third proportional to 533,692 and 1,275,666 is: 3,049,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,692 : 1,275,666 = 1,275,666 : x
  2. Step 2: Convert to fraction form
    533,692/1,275,666 = 1,275,666/x
  3. Step 3: Cross multiply
    533,692x = 1,275,666 × 1,275,666
  4. Step 4: Simplify right side
    533,692x = 1,627,323,743,556
  5. Step 5: Solve for x
    x = 1,627,323,743,556/533,692
  6. Step 6: Final answer
    x = 3,049,181.44

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.