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Finding the Third Proportional to 986,204 and 2,122,232

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Solution

The third proportional to 986,204 and 2,122,232 is: 4,566,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,204 : 2,122,232 = 2,122,232 : x
  2. Step 2: Convert to fraction form
    986,204/2,122,232 = 2,122,232/x
  3. Step 3: Cross multiply
    986,204x = 2,122,232 × 2,122,232
  4. Step 4: Simplify right side
    986,204x = 4,503,868,661,824
  5. Step 5: Solve for x
    x = 4,503,868,661,824/986,204
  6. Step 6: Final answer
    x = 4,566,873.25

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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.