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Finding the Third Proportional to 605,718 and 933,849

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Solution

The third proportional to 605,718 and 933,849 is: 1,439,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,718 : 933,849 = 933,849 : x
  2. Step 2: Convert to fraction form
    605,718/933,849 = 933,849/x
  3. Step 3: Cross multiply
    605,718x = 933,849 × 933,849
  4. Step 4: Simplify right side
    605,718x = 872,073,954,801
  5. Step 5: Solve for x
    x = 872,073,954,801/605,718
  6. Step 6: Final answer
    x = 1,439,735.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.