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Finding the Third Proportional to 981,074 and 1,391,259

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Solution

The third proportional to 981,074 and 1,391,259 is: 1,972,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,074 : 1,391,259 = 1,391,259 : x
  2. Step 2: Convert to fraction form
    981,074/1,391,259 = 1,391,259/x
  3. Step 3: Cross multiply
    981,074x = 1,391,259 × 1,391,259
  4. Step 4: Simplify right side
    981,074x = 1,935,601,605,081
  5. Step 5: Solve for x
    x = 1,935,601,605,081/981,074
  6. Step 6: Final answer
    x = 1,972,941.50

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.