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Finding the Third Proportional to 414,220 and 888,856

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Solution

The third proportional to 414,220 and 888,856 is: 1,907,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,220 : 888,856 = 888,856 : x
  2. Step 2: Convert to fraction form
    414,220/888,856 = 888,856/x
  3. Step 3: Cross multiply
    414,220x = 888,856 × 888,856
  4. Step 4: Simplify right side
    414,220x = 790,064,988,736
  5. Step 5: Solve for x
    x = 790,064,988,736/414,220
  6. Step 6: Final answer
    x = 1,907,355.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.