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Finding the Third Proportional to 804,926 and 1,749,625

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Solution

The third proportional to 804,926 and 1,749,625 is: 3,803,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,926 : 1,749,625 = 1,749,625 : x
  2. Step 2: Convert to fraction form
    804,926/1,749,625 = 1,749,625/x
  3. Step 3: Cross multiply
    804,926x = 1,749,625 × 1,749,625
  4. Step 4: Simplify right side
    804,926x = 3,061,187,640,625
  5. Step 5: Solve for x
    x = 3,061,187,640,625/804,926
  6. Step 6: Final answer
    x = 3,803,067.16

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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.