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Finding the Third Proportional to 523,269 and 1,126,404

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Solution

The third proportional to 523,269 and 1,126,404 is: 2,424,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,269 : 1,126,404 = 1,126,404 : x
  2. Step 2: Convert to fraction form
    523,269/1,126,404 = 1,126,404/x
  3. Step 3: Cross multiply
    523,269x = 1,126,404 × 1,126,404
  4. Step 4: Simplify right side
    523,269x = 1,268,785,971,216
  5. Step 5: Solve for x
    x = 1,268,785,971,216/523,269
  6. Step 6: Final answer
    x = 2,424,729.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.