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Finding the Third Proportional to 424,200 and 914,824

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Solution

The third proportional to 424,200 and 914,824 is: 1,972,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,200 : 914,824 = 914,824 : x
  2. Step 2: Convert to fraction form
    424,200/914,824 = 914,824/x
  3. Step 3: Cross multiply
    424,200x = 914,824 × 914,824
  4. Step 4: Simplify right side
    424,200x = 836,902,950,976
  5. Step 5: Solve for x
    x = 836,902,950,976/424,200
  6. Step 6: Final answer
    x = 1,972,897.10

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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.