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Finding the Third Proportional to 533,400 and 1,166,383

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Solution

The third proportional to 533,400 and 1,166,383 is: 2,550,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,400 : 1,166,383 = 1,166,383 : x
  2. Step 2: Convert to fraction form
    533,400/1,166,383 = 1,166,383/x
  3. Step 3: Cross multiply
    533,400x = 1,166,383 × 1,166,383
  4. Step 4: Simplify right side
    533,400x = 1,360,449,302,689
  5. Step 5: Solve for x
    x = 1,360,449,302,689/533,400
  6. Step 6: Final answer
    x = 2,550,523.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.