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Finding the Third Proportional to 4,661,249 and 6,297,757

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Solution

The third proportional to 4,661,249 and 6,297,757 is: 8,508,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,249 : 6,297,757 = 6,297,757 : x
  2. Step 2: Convert to fraction form
    4,661,249/6,297,757 = 6,297,757/x
  3. Step 3: Cross multiply
    4,661,249x = 6,297,757 × 6,297,757
  4. Step 4: Simplify right side
    4,661,249x = 39,661,743,231,049
  5. Step 5: Solve for x
    x = 39,661,743,231,049/4,661,249
  6. Step 6: Final answer
    x = 8,508,823.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.