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Finding the Third Proportional to 601,957 and 1,253,738

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Solution

The third proportional to 601,957 and 1,253,738 is: 2,611,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,957 : 1,253,738 = 1,253,738 : x
  2. Step 2: Convert to fraction form
    601,957/1,253,738 = 1,253,738/x
  3. Step 3: Cross multiply
    601,957x = 1,253,738 × 1,253,738
  4. Step 4: Simplify right side
    601,957x = 1,571,858,972,644
  5. Step 5: Solve for x
    x = 1,571,858,972,644/601,957
  6. Step 6: Final answer
    x = 2,611,247.93

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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.