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Finding the Third Proportional to 2,792,790 and 4,270,410

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Solution

The third proportional to 2,792,790 and 4,270,410 is: 6,529,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792,790 : 4,270,410 = 4,270,410 : x
  2. Step 2: Convert to fraction form
    2,792,790/4,270,410 = 4,270,410/x
  3. Step 3: Cross multiply
    2,792,790x = 4,270,410 × 4,270,410
  4. Step 4: Simplify right side
    2,792,790x = 18,236,401,568,100
  5. Step 5: Solve for x
    x = 18,236,401,568,100/2,792,790
  6. Step 6: Final answer
    x = 6,529,814.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.