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Finding the Third Proportional to 1,968,057.75 and 3,213,661.13

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Solution

The third proportional to 1,968,057.75 and 3,213,661.13 is: 5,247,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,057.75 : 3,213,661.13 = 3,213,661.13 : x
  2. Step 2: Convert to fraction form
    1,968,057.75/3,213,661.13 = 3,213,661.13/x
  3. Step 3: Cross multiply
    1,968,057.75x = 3,213,661.13 × 3,213,661.13
  4. Step 4: Simplify right side
    1,968,057.75x = 10,327,617,826,336.27
  5. Step 5: Solve for x
    x = 10,327,617,826,336.27/1,968,057.75
  6. Step 6: Final answer
    x = 5,247,619.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.