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Finding the Third Proportional to 862,204 and 1,878,824

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Solution

The third proportional to 862,204 and 1,878,824 is: 4,094,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,204 : 1,878,824 = 1,878,824 : x
  2. Step 2: Convert to fraction form
    862,204/1,878,824 = 1,878,824/x
  3. Step 3: Cross multiply
    862,204x = 1,878,824 × 1,878,824
  4. Step 4: Simplify right side
    862,204x = 3,529,979,622,976
  5. Step 5: Solve for x
    x = 3,529,979,622,976/862,204
  6. Step 6: Final answer
    x = 4,094,135.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.