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Finding the Third Proportional to 533,444 and 1,162,750

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Solution

The third proportional to 533,444 and 1,162,750 is: 2,534,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,444 : 1,162,750 = 1,162,750 : x
  2. Step 2: Convert to fraction form
    533,444/1,162,750 = 1,162,750/x
  3. Step 3: Cross multiply
    533,444x = 1,162,750 × 1,162,750
  4. Step 4: Simplify right side
    533,444x = 1,351,987,562,500
  5. Step 5: Solve for x
    x = 1,351,987,562,500/533,444
  6. Step 6: Final answer
    x = 2,534,450.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.