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Finding the Third Proportional to 715,296 and 1,489,344

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Solution

The third proportional to 715,296 and 1,489,344 is: 3,101,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,296 : 1,489,344 = 1,489,344 : x
  2. Step 2: Convert to fraction form
    715,296/1,489,344 = 1,489,344/x
  3. Step 3: Cross multiply
    715,296x = 1,489,344 × 1,489,344
  4. Step 4: Simplify right side
    715,296x = 2,218,145,550,336
  5. Step 5: Solve for x
    x = 2,218,145,550,336/715,296
  6. Step 6: Final answer
    x = 3,101,017.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.