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Finding the Third Proportional to 413,100 and 904,824

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Solution

The third proportional to 413,100 and 904,824 is: 1,981,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,100 : 904,824 = 904,824 : x
  2. Step 2: Convert to fraction form
    413,100/904,824 = 904,824/x
  3. Step 3: Cross multiply
    413,100x = 904,824 × 904,824
  4. Step 4: Simplify right side
    413,100x = 818,706,470,976
  5. Step 5: Solve for x
    x = 818,706,470,976/413,100
  6. Step 6: Final answer
    x = 1,981,860.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.