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Finding the Third Proportional to 424,226 and 914,870

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Solution

The third proportional to 424,226 and 914,870 is: 1,972,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,226 : 914,870 = 914,870 : x
  2. Step 2: Convert to fraction form
    424,226/914,870 = 914,870/x
  3. Step 3: Cross multiply
    424,226x = 914,870 × 914,870
  4. Step 4: Simplify right side
    424,226x = 836,987,116,900
  5. Step 5: Solve for x
    x = 836,987,116,900/424,226
  6. Step 6: Final answer
    x = 1,972,974.59

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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.