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Finding the Third Proportional to 601,949 and 1,253,719

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Solution

The third proportional to 601,949 and 1,253,719 is: 2,611,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,949 : 1,253,719 = 1,253,719 : x
  2. Step 2: Convert to fraction form
    601,949/1,253,719 = 1,253,719/x
  3. Step 3: Cross multiply
    601,949x = 1,253,719 × 1,253,719
  4. Step 4: Simplify right side
    601,949x = 1,571,811,330,961
  5. Step 5: Solve for x
    x = 1,571,811,330,961/601,949
  6. Step 6: Final answer
    x = 2,611,203.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.