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Finding the Third Proportional to 768,745.69 and 1,682,277.19

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Solution

The third proportional to 768,745.69 and 1,682,277.19 is: 3,681,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,745.69 : 1,682,277.19 = 1,682,277.19 : x
  2. Step 2: Convert to fraction form
    768,745.69/1,682,277.19 = 1,682,277.19/x
  3. Step 3: Cross multiply
    768,745.69x = 1,682,277.19 × 1,682,277.19
  4. Step 4: Simplify right side
    768,745.69x = 2,830,056,535,582.91
  5. Step 5: Solve for x
    x = 2,830,056,535,582.91/768,745.69
  6. Step 6: Final answer
    x = 3,681,395.01

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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.