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Finding the Third Proportional to 404,920 and 886,110

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Solution

The third proportional to 404,920 and 886,110 is: 1,939,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,920 : 886,110 = 886,110 : x
  2. Step 2: Convert to fraction form
    404,920/886,110 = 886,110/x
  3. Step 3: Cross multiply
    404,920x = 886,110 × 886,110
  4. Step 4: Simplify right side
    404,920x = 785,190,932,100
  5. Step 5: Solve for x
    x = 785,190,932,100/404,920
  6. Step 6: Final answer
    x = 1,939,126.08

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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.