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Finding the Third Proportional to 768,988 and 1,682,727

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Solution

The third proportional to 768,988 and 1,682,727 is: 3,682,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,988 : 1,682,727 = 1,682,727 : x
  2. Step 2: Convert to fraction form
    768,988/1,682,727 = 1,682,727/x
  3. Step 3: Cross multiply
    768,988x = 1,682,727 × 1,682,727
  4. Step 4: Simplify right side
    768,988x = 2,831,570,156,529
  5. Step 5: Solve for x
    x = 2,831,570,156,529/768,988
  6. Step 6: Final answer
    x = 3,682,203.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.