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Finding the Third Proportional to 414,744 and 889,904

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Solution

The third proportional to 414,744 and 889,904 is: 1,909,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,744 : 889,904 = 889,904 : x
  2. Step 2: Convert to fraction form
    414,744/889,904 = 889,904/x
  3. Step 3: Cross multiply
    414,744x = 889,904 × 889,904
  4. Step 4: Simplify right side
    414,744x = 791,929,129,216
  5. Step 5: Solve for x
    x = 791,929,129,216/414,744
  6. Step 6: Final answer
    x = 1,909,440.83

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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.