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Finding the Third Proportional to 635,714 and 1,347,244

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Solution

The third proportional to 635,714 and 1,347,244 is: 2,855,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,714 : 1,347,244 = 1,347,244 : x
  2. Step 2: Convert to fraction form
    635,714/1,347,244 = 1,347,244/x
  3. Step 3: Cross multiply
    635,714x = 1,347,244 × 1,347,244
  4. Step 4: Simplify right side
    635,714x = 1,815,066,395,536
  5. Step 5: Solve for x
    x = 1,815,066,395,536/635,714
  6. Step 6: Final answer
    x = 2,855,161.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.