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Finding the Third Proportional to 624,832 and 1,332,544

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Solution

The third proportional to 624,832 and 1,332,544 is: 2,841,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,832 : 1,332,544 = 1,332,544 : x
  2. Step 2: Convert to fraction form
    624,832/1,332,544 = 1,332,544/x
  3. Step 3: Cross multiply
    624,832x = 1,332,544 × 1,332,544
  4. Step 4: Simplify right side
    624,832x = 1,775,673,511,936
  5. Step 5: Solve for x
    x = 1,775,673,511,936/624,832
  6. Step 6: Final answer
    x = 2,841,841.51

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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.