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Finding the Third Proportional to 701,899 and 1,436,997

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Solution

The third proportional to 701,899 and 1,436,997 is: 2,941,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,899 : 1,436,997 = 1,436,997 : x
  2. Step 2: Convert to fraction form
    701,899/1,436,997 = 1,436,997/x
  3. Step 3: Cross multiply
    701,899x = 1,436,997 × 1,436,997
  4. Step 4: Simplify right side
    701,899x = 2,064,960,378,009
  5. Step 5: Solve for x
    x = 2,064,960,378,009/701,899
  6. Step 6: Final answer
    x = 2,941,962.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.