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Finding the Third Proportional to 534,706 and 1,188,963

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Solution

The third proportional to 534,706 and 1,188,963 is: 2,643,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,706 : 1,188,963 = 1,188,963 : x
  2. Step 2: Convert to fraction form
    534,706/1,188,963 = 1,188,963/x
  3. Step 3: Cross multiply
    534,706x = 1,188,963 × 1,188,963
  4. Step 4: Simplify right side
    534,706x = 1,413,633,015,369
  5. Step 5: Solve for x
    x = 1,413,633,015,369/534,706
  6. Step 6: Final answer
    x = 2,643,757.53

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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.