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Finding the Third Proportional to 3,191,151.94 and 4,789,993.22

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Solution

The third proportional to 3,191,151.94 and 4,789,993.22 is: 7,189,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,151.94 : 4,789,993.22 = 4,789,993.22 : x
  2. Step 2: Convert to fraction form
    3,191,151.94/4,789,993.22 = 4,789,993.22/x
  3. Step 3: Cross multiply
    3,191,151.94x = 4,789,993.22 × 4,789,993.22
  4. Step 4: Simplify right side
    3,191,151.94x = 22,944,035,035,670.98
  5. Step 5: Solve for x
    x = 22,944,035,035,670.98/3,191,151.94
  6. Step 6: Final answer
    x = 7,189,891.14

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Why These Related Problems?

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