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Finding the Third Proportional to 981,254 and 1,476,741

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Solution

The third proportional to 981,254 and 1,476,741 is: 2,222,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,254 : 1,476,741 = 1,476,741 : x
  2. Step 2: Convert to fraction form
    981,254/1,476,741 = 1,476,741/x
  3. Step 3: Cross multiply
    981,254x = 1,476,741 × 1,476,741
  4. Step 4: Simplify right side
    981,254x = 2,180,763,981,081
  5. Step 5: Solve for x
    x = 2,180,763,981,081/981,254
  6. Step 6: Final answer
    x = 2,222,425.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.