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Finding the Third Proportional to 600,120 and 1,276,632

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Solution

The third proportional to 600,120 and 1,276,632 is: 2,715,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,120 : 1,276,632 = 1,276,632 : x
  2. Step 2: Convert to fraction form
    600,120/1,276,632 = 1,276,632/x
  3. Step 3: Cross multiply
    600,120x = 1,276,632 × 1,276,632
  4. Step 4: Simplify right side
    600,120x = 1,629,789,263,424
  5. Step 5: Solve for x
    x = 1,629,789,263,424/600,120
  6. Step 6: Final answer
    x = 2,715,772.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.