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Finding the Third Proportional to 404,532 and 886,824

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Solution

The third proportional to 404,532 and 886,824 is: 1,944,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,532 : 886,824 = 886,824 : x
  2. Step 2: Convert to fraction form
    404,532/886,824 = 886,824/x
  3. Step 3: Cross multiply
    404,532x = 886,824 × 886,824
  4. Step 4: Simplify right side
    404,532x = 786,456,806,976
  5. Step 5: Solve for x
    x = 786,456,806,976/404,532
  6. Step 6: Final answer
    x = 1,944,115.19

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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.