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Finding the Third Proportional to 825,888 and 1,751,016

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Solution

The third proportional to 825,888 and 1,751,016 is: 3,712,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,888 : 1,751,016 = 1,751,016 : x
  2. Step 2: Convert to fraction form
    825,888/1,751,016 = 1,751,016/x
  3. Step 3: Cross multiply
    825,888x = 1,751,016 × 1,751,016
  4. Step 4: Simplify right side
    825,888x = 3,066,057,032,256
  5. Step 5: Solve for x
    x = 3,066,057,032,256/825,888
  6. Step 6: Final answer
    x = 3,712,436.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.