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Finding the Third Proportional to 496,884 and 1,072,458

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Solution

The third proportional to 496,884 and 1,072,458 is: 2,314,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,884 : 1,072,458 = 1,072,458 : x
  2. Step 2: Convert to fraction form
    496,884/1,072,458 = 1,072,458/x
  3. Step 3: Cross multiply
    496,884x = 1,072,458 × 1,072,458
  4. Step 4: Simplify right side
    496,884x = 1,150,166,161,764
  5. Step 5: Solve for x
    x = 1,150,166,161,764/496,884
  6. Step 6: Final answer
    x = 2,314,757.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.