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Finding the Third Proportional to 682,458.75 and 1,485,928.13

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Solution

The third proportional to 682,458.75 and 1,485,928.13 is: 3,235,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,458.75 : 1,485,928.13 = 1,485,928.13 : x
  2. Step 2: Convert to fraction form
    682,458.75/1,485,928.13 = 1,485,928.13/x
  3. Step 3: Cross multiply
    682,458.75x = 1,485,928.13 × 1,485,928.13
  4. Step 4: Simplify right side
    682,458.75x = 2,207,982,392,666.02
  5. Step 5: Solve for x
    x = 2,207,982,392,666.02/682,458.75
  6. Step 6: Final answer
    x = 3,235,334.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.