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Finding the Third Proportional to 951,960 and 2,074,512

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Solution

The third proportional to 951,960 and 2,074,512 is: 4,520,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,960 : 2,074,512 = 2,074,512 : x
  2. Step 2: Convert to fraction form
    951,960/2,074,512 = 2,074,512/x
  3. Step 3: Cross multiply
    951,960x = 2,074,512 × 2,074,512
  4. Step 4: Simplify right side
    951,960x = 4,303,600,038,144
  5. Step 5: Solve for x
    x = 4,303,600,038,144/951,960
  6. Step 6: Final answer
    x = 4,520,778.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.