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Finding the Third Proportional to 981,906 and 1,523,937

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Solution

The third proportional to 981,906 and 1,523,937 is: 2,365,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,906 : 1,523,937 = 1,523,937 : x
  2. Step 2: Convert to fraction form
    981,906/1,523,937 = 1,523,937/x
  3. Step 3: Cross multiply
    981,906x = 1,523,937 × 1,523,937
  4. Step 4: Simplify right side
    981,906x = 2,322,383,979,969
  5. Step 5: Solve for x
    x = 2,322,383,979,969/981,906
  6. Step 6: Final answer
    x = 2,365,179.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.