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Finding the Third Proportional to 844,069 and 1,952,344

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Solution

The third proportional to 844,069 and 1,952,344 is: 4,515,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,069 : 1,952,344 = 1,952,344 : x
  2. Step 2: Convert to fraction form
    844,069/1,952,344 = 1,952,344/x
  3. Step 3: Cross multiply
    844,069x = 1,952,344 × 1,952,344
  4. Step 4: Simplify right side
    844,069x = 3,811,647,094,336
  5. Step 5: Solve for x
    x = 3,811,647,094,336/844,069
  6. Step 6: Final answer
    x = 4,515,800.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.