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Finding the Third Proportional to 601,733 and 1,321,569

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Solution

The third proportional to 601,733 and 1,321,569 is: 2,902,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,733 : 1,321,569 = 1,321,569 : x
  2. Step 2: Convert to fraction form
    601,733/1,321,569 = 1,321,569/x
  3. Step 3: Cross multiply
    601,733x = 1,321,569 × 1,321,569
  4. Step 4: Simplify right side
    601,733x = 1,746,544,621,761
  5. Step 5: Solve for x
    x = 1,746,544,621,761/601,733
  6. Step 6: Final answer
    x = 2,902,524.25

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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.