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Finding the Third Proportional to 706,296 and 1,532,997

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Solution

The third proportional to 706,296 and 1,532,997 is: 3,327,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,296 : 1,532,997 = 1,532,997 : x
  2. Step 2: Convert to fraction form
    706,296/1,532,997 = 1,532,997/x
  3. Step 3: Cross multiply
    706,296x = 1,532,997 × 1,532,997
  4. Step 4: Simplify right side
    706,296x = 2,350,079,802,009
  5. Step 5: Solve for x
    x = 2,350,079,802,009/706,296
  6. Step 6: Final answer
    x = 3,327,329.90

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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.