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Finding the Third Proportional to 535,338 and 1,188,774

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Solution

The third proportional to 535,338 and 1,188,774 is: 2,639,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,338 : 1,188,774 = 1,188,774 : x
  2. Step 2: Convert to fraction form
    535,338/1,188,774 = 1,188,774/x
  3. Step 3: Cross multiply
    535,338x = 1,188,774 × 1,188,774
  4. Step 4: Simplify right side
    535,338x = 1,413,183,623,076
  5. Step 5: Solve for x
    x = 1,413,183,623,076/535,338
  6. Step 6: Final answer
    x = 2,639,796.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.