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Finding the Third Proportional to 778,861 and 1,682,277

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Solution

The third proportional to 778,861 and 1,682,277 is: 3,633,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,861 : 1,682,277 = 1,682,277 : x
  2. Step 2: Convert to fraction form
    778,861/1,682,277 = 1,682,277/x
  3. Step 3: Cross multiply
    778,861x = 1,682,277 × 1,682,277
  4. Step 4: Simplify right side
    778,861x = 2,830,055,904,729
  5. Step 5: Solve for x
    x = 2,830,055,904,729/778,861
  6. Step 6: Final answer
    x = 3,633,582.76

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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.