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Finding the Third Proportional to 493,467 and 1,061,777

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Solution

The third proportional to 493,467 and 1,061,777 is: 2,284,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,467 : 1,061,777 = 1,061,777 : x
  2. Step 2: Convert to fraction form
    493,467/1,061,777 = 1,061,777/x
  3. Step 3: Cross multiply
    493,467x = 1,061,777 × 1,061,777
  4. Step 4: Simplify right side
    493,467x = 1,127,370,397,729
  5. Step 5: Solve for x
    x = 1,127,370,397,729/493,467
  6. Step 6: Final answer
    x = 2,284,591.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.