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Finding the Third Proportional to 1,933,200 and 4,198,680

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Solution

The third proportional to 1,933,200 and 4,198,680 is: 9,119,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933,200 : 4,198,680 = 4,198,680 : x
  2. Step 2: Convert to fraction form
    1,933,200/4,198,680 = 4,198,680/x
  3. Step 3: Cross multiply
    1,933,200x = 4,198,680 × 4,198,680
  4. Step 4: Simplify right side
    1,933,200x = 17,628,913,742,400
  5. Step 5: Solve for x
    x = 17,628,913,742,400/1,933,200
  6. Step 6: Final answer
    x = 9,119,032.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.