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Finding the Third Proportional to 448,831 and 982,121

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Solution

The third proportional to 448,831 and 982,121 is: 2,149,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,831 : 982,121 = 982,121 : x
  2. Step 2: Convert to fraction form
    448,831/982,121 = 982,121/x
  3. Step 3: Cross multiply
    448,831x = 982,121 × 982,121
  4. Step 4: Simplify right side
    448,831x = 964,561,658,641
  5. Step 5: Solve for x
    x = 964,561,658,641/448,831
  6. Step 6: Final answer
    x = 2,149,053.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.