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Finding the Third Proportional to 1,741,896 and 3,764,040

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Solution

The third proportional to 1,741,896 and 3,764,040 is: 8,133,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,896 : 3,764,040 = 3,764,040 : x
  2. Step 2: Convert to fraction form
    1,741,896/3,764,040 = 3,764,040/x
  3. Step 3: Cross multiply
    1,741,896x = 3,764,040 × 3,764,040
  4. Step 4: Simplify right side
    1,741,896x = 14,167,997,121,600
  5. Step 5: Solve for x
    x = 14,167,997,121,600/1,741,896
  6. Step 6: Final answer
    x = 8,133,664.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.