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Finding the Third Proportional to 778,867 and 1,682,291

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Solution

The third proportional to 778,867 and 1,682,291 is: 3,633,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,867 : 1,682,291 = 1,682,291 : x
  2. Step 2: Convert to fraction form
    778,867/1,682,291 = 1,682,291/x
  3. Step 3: Cross multiply
    778,867x = 1,682,291 × 1,682,291
  4. Step 4: Simplify right side
    778,867x = 2,830,103,008,681
  5. Step 5: Solve for x
    x = 2,830,103,008,681/778,867
  6. Step 6: Final answer
    x = 3,633,615.25

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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.