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Finding the Third Proportional to 533,456 and 1,162,774

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Solution

The third proportional to 533,456 and 1,162,774 is: 2,534,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,456 : 1,162,774 = 1,162,774 : x
  2. Step 2: Convert to fraction form
    533,456/1,162,774 = 1,162,774/x
  3. Step 3: Cross multiply
    533,456x = 1,162,774 × 1,162,774
  4. Step 4: Simplify right side
    533,456x = 1,352,043,375,076
  5. Step 5: Solve for x
    x = 1,352,043,375,076/533,456
  6. Step 6: Final answer
    x = 2,534,498.39

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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.