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Finding the Third Proportional to 533,242 and 1,126,436

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Solution

The third proportional to 533,242 and 1,126,436 is: 2,379,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,242 : 1,126,436 = 1,126,436 : x
  2. Step 2: Convert to fraction form
    533,242/1,126,436 = 1,126,436/x
  3. Step 3: Cross multiply
    533,242x = 1,126,436 × 1,126,436
  4. Step 4: Simplify right side
    533,242x = 1,268,858,062,096
  5. Step 5: Solve for x
    x = 1,268,858,062,096/533,242
  6. Step 6: Final answer
    x = 2,379,516.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.