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Finding the Third Proportional to 825,890 and 1,751,020

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Solution

The third proportional to 825,890 and 1,751,020 is: 3,712,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,890 : 1,751,020 = 1,751,020 : x
  2. Step 2: Convert to fraction form
    825,890/1,751,020 = 1,751,020/x
  3. Step 3: Cross multiply
    825,890x = 1,751,020 × 1,751,020
  4. Step 4: Simplify right side
    825,890x = 3,066,071,040,400
  5. Step 5: Solve for x
    x = 3,066,071,040,400/825,890
  6. Step 6: Final answer
    x = 3,712,444.81

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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.