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Finding the Third Proportional to 601,761 and 1,297,563

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Solution

The third proportional to 601,761 and 1,297,563 is: 2,797,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,761 : 1,297,563 = 1,297,563 : x
  2. Step 2: Convert to fraction form
    601,761/1,297,563 = 1,297,563/x
  3. Step 3: Cross multiply
    601,761x = 1,297,563 × 1,297,563
  4. Step 4: Simplify right side
    601,761x = 1,683,669,738,969
  5. Step 5: Solve for x
    x = 1,683,669,738,969/601,761
  6. Step 6: Final answer
    x = 2,797,904.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.