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Finding the Third Proportional to 798,085 and 1,751,381

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Solution

The third proportional to 798,085 and 1,751,381 is: 3,843,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,085 : 1,751,381 = 1,751,381 : x
  2. Step 2: Convert to fraction form
    798,085/1,751,381 = 1,751,381/x
  3. Step 3: Cross multiply
    798,085x = 1,751,381 × 1,751,381
  4. Step 4: Simplify right side
    798,085x = 3,067,335,407,161
  5. Step 5: Solve for x
    x = 3,067,335,407,161/798,085
  6. Step 6: Final answer
    x = 3,843,369.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.