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Finding the Third Proportional to 512,858 and 1,116,022

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Solution

The third proportional to 512,858 and 1,116,022 is: 2,428,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,858 : 1,116,022 = 1,116,022 : x
  2. Step 2: Convert to fraction form
    512,858/1,116,022 = 1,116,022/x
  3. Step 3: Cross multiply
    512,858x = 1,116,022 × 1,116,022
  4. Step 4: Simplify right side
    512,858x = 1,245,505,104,484
  5. Step 5: Solve for x
    x = 1,245,505,104,484/512,858
  6. Step 6: Final answer
    x = 2,428,557.43

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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.