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Finding the Third Proportional to 981,723.38 and 1,440,266.06

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Solution

The third proportional to 981,723.38 and 1,440,266.06 is: 2,112,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,723.38 : 1,440,266.06 = 1,440,266.06 : x
  2. Step 2: Convert to fraction form
    981,723.38/1,440,266.06 = 1,440,266.06/x
  3. Step 3: Cross multiply
    981,723.38x = 1,440,266.06 × 1,440,266.06
  4. Step 4: Simplify right side
    981,723.38x = 2,074,366,330,789.25
  5. Step 5: Solve for x
    x = 2,074,366,330,789.25/981,723.38
  6. Step 6: Final answer
    x = 2,112,984.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.