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Finding the Third Proportional to 1,968,169.50 and 2,942,007.75

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Solution

The third proportional to 1,968,169.50 and 2,942,007.75 is: 4,397,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,169.50 : 2,942,007.75 = 2,942,007.75 : x
  2. Step 2: Convert to fraction form
    1,968,169.50/2,942,007.75 = 2,942,007.75/x
  3. Step 3: Cross multiply
    1,968,169.50x = 2,942,007.75 × 2,942,007.75
  4. Step 4: Simplify right side
    1,968,169.50x = 8,655,409,601,060.06
  5. Step 5: Solve for x
    x = 8,655,409,601,060.06/1,968,169.50
  6. Step 6: Final answer
    x = 4,397,695.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.