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Finding the Third Proportional to 601,711 and 1,321,519

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Solution

The third proportional to 601,711 and 1,321,519 is: 2,902,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,711 : 1,321,519 = 1,321,519 : x
  2. Step 2: Convert to fraction form
    601,711/1,321,519 = 1,321,519/x
  3. Step 3: Cross multiply
    601,711x = 1,321,519 × 1,321,519
  4. Step 4: Simplify right side
    601,711x = 1,746,412,467,361
  5. Step 5: Solve for x
    x = 1,746,412,467,361/601,711
  6. Step 6: Final answer
    x = 2,902,410.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.