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Finding the Third Proportional to 1,741,945.50 and 2,651,054.06

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Solution

The third proportional to 1,741,945.50 and 2,651,054.06 is: 4,034,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,945.50 : 2,651,054.06 = 2,651,054.06 : x
  2. Step 2: Convert to fraction form
    1,741,945.50/2,651,054.06 = 2,651,054.06/x
  3. Step 3: Cross multiply
    1,741,945.50x = 2,651,054.06 × 2,651,054.06
  4. Step 4: Simplify right side
    1,741,945.50x = 7,028,087,642,297.75
  5. Step 5: Solve for x
    x = 7,028,087,642,297.75/1,741,945.50
  6. Step 6: Final answer
    x = 4,034,619.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.