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Finding the Third Proportional to 2,812,512 and 5,824,408

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Solution

The third proportional to 2,812,512 and 5,824,408 is: 12,061,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812,512 : 5,824,408 = 5,824,408 : x
  2. Step 2: Convert to fraction form
    2,812,512/5,824,408 = 5,824,408/x
  3. Step 3: Cross multiply
    2,812,512x = 5,824,408 × 5,824,408
  4. Step 4: Simplify right side
    2,812,512x = 33,923,728,550,464
  5. Step 5: Solve for x
    x = 33,923,728,550,464/2,812,512
  6. Step 6: Final answer
    x = 12,061,718.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.