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Finding the Third Proportional to 733,997 and 1,072,672

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Solution

The third proportional to 733,997 and 1,072,672 is: 1,567,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,997 : 1,072,672 = 1,072,672 : x
  2. Step 2: Convert to fraction form
    733,997/1,072,672 = 1,072,672/x
  3. Step 3: Cross multiply
    733,997x = 1,072,672 × 1,072,672
  4. Step 4: Simplify right side
    733,997x = 1,150,625,219,584
  5. Step 5: Solve for x
    x = 1,150,625,219,584/733,997
  6. Step 6: Final answer
    x = 1,567,615.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.