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Finding the Third Proportional to 672,648 and 1,463,393

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Solution

The third proportional to 672,648 and 1,463,393 is: 3,183,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,648 : 1,463,393 = 1,463,393 : x
  2. Step 2: Convert to fraction form
    672,648/1,463,393 = 1,463,393/x
  3. Step 3: Cross multiply
    672,648x = 1,463,393 × 1,463,393
  4. Step 4: Simplify right side
    672,648x = 2,141,519,072,449
  5. Step 5: Solve for x
    x = 2,141,519,072,449/672,648
  6. Step 6: Final answer
    x = 3,183,714.32

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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.