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Finding the Third Proportional to 778,198.50 and 1,428,525

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Solution

The third proportional to 778,198.50 and 1,428,525 is: 2,622,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,198.50 : 1,428,525 = 1,428,525 : x
  2. Step 2: Convert to fraction form
    778,198.50/1,428,525 = 1,428,525/x
  3. Step 3: Cross multiply
    778,198.50x = 1,428,525 × 1,428,525
  4. Step 4: Simplify right side
    778,198.50x = 2,040,683,675,625
  5. Step 5: Solve for x
    x = 2,040,683,675,625/778,198.50
  6. Step 6: Final answer
    x = 2,622,317.67

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.