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Finding the Third Proportional to 706,809 and 1,473,234

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Solution

The third proportional to 706,809 and 1,473,234 is: 3,070,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,809 : 1,473,234 = 1,473,234 : x
  2. Step 2: Convert to fraction form
    706,809/1,473,234 = 1,473,234/x
  3. Step 3: Cross multiply
    706,809x = 1,473,234 × 1,473,234
  4. Step 4: Simplify right side
    706,809x = 2,170,418,418,756
  5. Step 5: Solve for x
    x = 2,170,418,418,756/706,809
  6. Step 6: Final answer
    x = 3,070,728.33

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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.