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Finding the Third Proportional to 823,855 and 1,736,284

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Solution

The third proportional to 823,855 and 1,736,284 is: 3,659,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,855 : 1,736,284 = 1,736,284 : x
  2. Step 2: Convert to fraction form
    823,855/1,736,284 = 1,736,284/x
  3. Step 3: Cross multiply
    823,855x = 1,736,284 × 1,736,284
  4. Step 4: Simplify right side
    823,855x = 3,014,682,128,656
  5. Step 5: Solve for x
    x = 3,014,682,128,656/823,855
  6. Step 6: Final answer
    x = 3,659,238.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.