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Finding the Third Proportional to 2,225,135.81 and 4,568,232.94

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Solution

The third proportional to 2,225,135.81 and 4,568,232.94 is: 9,378,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,135.81 : 4,568,232.94 = 4,568,232.94 : x
  2. Step 2: Convert to fraction form
    2,225,135.81/4,568,232.94 = 4,568,232.94/x
  3. Step 3: Cross multiply
    2,225,135.81x = 4,568,232.94 × 4,568,232.94
  4. Step 4: Simplify right side
    2,225,135.81x = 20,868,752,171,259.88
  5. Step 5: Solve for x
    x = 20,868,752,171,259.88/2,225,135.81
  6. Step 6: Final answer
    x = 9,378,641.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.