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Finding the Third Proportional to 496,721 and 1,079,869

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Solution

The third proportional to 496,721 and 1,079,869 is: 2,347,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,721 : 1,079,869 = 1,079,869 : x
  2. Step 2: Convert to fraction form
    496,721/1,079,869 = 1,079,869/x
  3. Step 3: Cross multiply
    496,721x = 1,079,869 × 1,079,869
  4. Step 4: Simplify right side
    496,721x = 1,166,117,057,161
  5. Step 5: Solve for x
    x = 1,166,117,057,161/496,721
  6. Step 6: Final answer
    x = 2,347,629.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.