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Finding the Third Proportional to 794,027 and 1,229,805

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Solution

The third proportional to 794,027 and 1,229,805 is: 1,904,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,027 : 1,229,805 = 1,229,805 : x
  2. Step 2: Convert to fraction form
    794,027/1,229,805 = 1,229,805/x
  3. Step 3: Cross multiply
    794,027x = 1,229,805 × 1,229,805
  4. Step 4: Simplify right side
    794,027x = 1,512,420,338,025
  5. Step 5: Solve for x
    x = 1,512,420,338,025/794,027
  6. Step 6: Final answer
    x = 1,904,746.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.