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Finding the Third Proportional to 801,913 and 1,743,722

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Solution

The third proportional to 801,913 and 1,743,722 is: 3,791,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,913 : 1,743,722 = 1,743,722 : x
  2. Step 2: Convert to fraction form
    801,913/1,743,722 = 1,743,722/x
  3. Step 3: Cross multiply
    801,913x = 1,743,722 × 1,743,722
  4. Step 4: Simplify right side
    801,913x = 3,040,566,413,284
  5. Step 5: Solve for x
    x = 3,040,566,413,284/801,913
  6. Step 6: Final answer
    x = 3,791,641.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.