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Finding the Third Proportional to 601,668 and 1,297,377

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Solution

The third proportional to 601,668 and 1,297,377 is: 2,797,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,668 : 1,297,377 = 1,297,377 : x
  2. Step 2: Convert to fraction form
    601,668/1,297,377 = 1,297,377/x
  3. Step 3: Cross multiply
    601,668x = 1,297,377 × 1,297,377
  4. Step 4: Simplify right side
    601,668x = 1,683,187,080,129
  5. Step 5: Solve for x
    x = 1,683,187,080,129/601,668
  6. Step 6: Final answer
    x = 2,797,534.65

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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.