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Finding the Third Proportional to 628,022 and 1,361,344

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Solution

The third proportional to 628,022 and 1,361,344 is: 2,950,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,022 : 1,361,344 = 1,361,344 : x
  2. Step 2: Convert to fraction form
    628,022/1,361,344 = 1,361,344/x
  3. Step 3: Cross multiply
    628,022x = 1,361,344 × 1,361,344
  4. Step 4: Simplify right side
    628,022x = 1,853,257,486,336
  5. Step 5: Solve for x
    x = 1,853,257,486,336/628,022
  6. Step 6: Final answer
    x = 2,950,943.58

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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.