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Finding the Third Proportional to 3,121,228.69 and 4,669,138.69

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Solution

The third proportional to 3,121,228.69 and 4,669,138.69 is: 6,984,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121,228.69 : 4,669,138.69 = 4,669,138.69 : x
  2. Step 2: Convert to fraction form
    3,121,228.69/4,669,138.69 = 4,669,138.69/x
  3. Step 3: Cross multiply
    3,121,228.69x = 4,669,138.69 × 4,669,138.69
  4. Step 4: Simplify right side
    3,121,228.69x = 21,800,856,083,109.22
  5. Step 5: Solve for x
    x = 21,800,856,083,109.22/3,121,228.69
  6. Step 6: Final answer
    x = 6,984,703.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.