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Finding the Third Proportional to 484,256 and 988,180

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Solution

The third proportional to 484,256 and 988,180 is: 2,016,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,256 : 988,180 = 988,180 : x
  2. Step 2: Convert to fraction form
    484,256/988,180 = 988,180/x
  3. Step 3: Cross multiply
    484,256x = 988,180 × 988,180
  4. Step 4: Simplify right side
    484,256x = 976,499,712,400
  5. Step 5: Solve for x
    x = 976,499,712,400/484,256
  6. Step 6: Final answer
    x = 2,016,494.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.