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Finding the Third Proportional to 424,161 and 914,742

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Solution

The third proportional to 424,161 and 914,742 is: 1,972,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,161 : 914,742 = 914,742 : x
  2. Step 2: Convert to fraction form
    424,161/914,742 = 914,742/x
  3. Step 3: Cross multiply
    424,161x = 914,742 × 914,742
  4. Step 4: Simplify right side
    424,161x = 836,752,926,564
  5. Step 5: Solve for x
    x = 836,752,926,564/424,161
  6. Step 6: Final answer
    x = 1,972,724.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.