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Finding the Third Proportional to 444,129 and 976,827

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Solution

The third proportional to 444,129 and 976,827 is: 2,148,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,129 : 976,827 = 976,827 : x
  2. Step 2: Convert to fraction form
    444,129/976,827 = 976,827/x
  3. Step 3: Cross multiply
    444,129x = 976,827 × 976,827
  4. Step 4: Simplify right side
    444,129x = 954,190,987,929
  5. Step 5: Solve for x
    x = 954,190,987,929/444,129
  6. Step 6: Final answer
    x = 2,148,454.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.