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Finding the Third Proportional to 706,297.22 and 1,532,999.25

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Solution

The third proportional to 706,297.22 and 1,532,999.25 is: 3,327,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,297.22 : 1,532,999.25 = 1,532,999.25 : x
  2. Step 2: Convert to fraction form
    706,297.22/1,532,999.25 = 1,532,999.25/x
  3. Step 3: Cross multiply
    706,297.22x = 1,532,999.25 × 1,532,999.25
  4. Step 4: Simplify right side
    706,297.22x = 2,350,086,700,500.56
  5. Step 5: Solve for x
    x = 2,350,086,700,500.56/706,297.22
  6. Step 6: Final answer
    x = 3,327,333.93

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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.