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Finding the Third Proportional to 404,714 and 880,825

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Solution

The third proportional to 404,714 and 880,825 is: 1,917,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,714 : 880,825 = 880,825 : x
  2. Step 2: Convert to fraction form
    404,714/880,825 = 880,825/x
  3. Step 3: Cross multiply
    404,714x = 880,825 × 880,825
  4. Step 4: Simplify right side
    404,714x = 775,852,680,625
  5. Step 5: Solve for x
    x = 775,852,680,625/404,714
  6. Step 6: Final answer
    x = 1,917,039.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.