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Finding the Third Proportional to 617,883 and 1,338,525

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Solution

The third proportional to 617,883 and 1,338,525 is: 2,899,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,883 : 1,338,525 = 1,338,525 : x
  2. Step 2: Convert to fraction form
    617,883/1,338,525 = 1,338,525/x
  3. Step 3: Cross multiply
    617,883x = 1,338,525 × 1,338,525
  4. Step 4: Simplify right side
    617,883x = 1,791,649,175,625
  5. Step 5: Solve for x
    x = 1,791,649,175,625/617,883
  6. Step 6: Final answer
    x = 2,899,657.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.