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Finding the Third Proportional to 471,716.44 and 1,036,101.94

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Solution

The third proportional to 471,716.44 and 1,036,101.94 is: 2,275,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,716.44 : 1,036,101.94 = 1,036,101.94 : x
  2. Step 2: Convert to fraction form
    471,716.44/1,036,101.94 = 1,036,101.94/x
  3. Step 3: Cross multiply
    471,716.44x = 1,036,101.94 × 1,036,101.94
  4. Step 4: Simplify right side
    471,716.44x = 1,073,507,224,891.25
  5. Step 5: Solve for x
    x = 1,073,507,224,891.25/471,716.44
  6. Step 6: Final answer
    x = 2,275,746.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.