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Finding the Third Proportional to 778,866 and 1,682,284

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Solution

The third proportional to 778,866 and 1,682,284 is: 3,633,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,866 : 1,682,284 = 1,682,284 : x
  2. Step 2: Convert to fraction form
    778,866/1,682,284 = 1,682,284/x
  3. Step 3: Cross multiply
    778,866x = 1,682,284 × 1,682,284
  4. Step 4: Simplify right side
    778,866x = 2,830,079,456,656
  5. Step 5: Solve for x
    x = 2,830,079,456,656/778,866
  6. Step 6: Final answer
    x = 3,633,589.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.