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Finding the Third Proportional to 455,882 and 981,874

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Solution

The third proportional to 455,882 and 981,874 is: 2,114,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,882 : 981,874 = 981,874 : x
  2. Step 2: Convert to fraction form
    455,882/981,874 = 981,874/x
  3. Step 3: Cross multiply
    455,882x = 981,874 × 981,874
  4. Step 4: Simplify right side
    455,882x = 964,076,551,876
  5. Step 5: Solve for x
    x = 964,076,551,876/455,882
  6. Step 6: Final answer
    x = 2,114,750.20

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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.