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Finding the Third Proportional to 768,845 and 1,682,518

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Solution

The third proportional to 768,845 and 1,682,518 is: 3,681,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,845 : 1,682,518 = 1,682,518 : x
  2. Step 2: Convert to fraction form
    768,845/1,682,518 = 1,682,518/x
  3. Step 3: Cross multiply
    768,845x = 1,682,518 × 1,682,518
  4. Step 4: Simplify right side
    768,845x = 2,830,866,820,324
  5. Step 5: Solve for x
    x = 2,830,866,820,324/768,845
  6. Step 6: Final answer
    x = 3,681,973.38

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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.