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Finding the Third Proportional to 2,225,141 and 4,568,243

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Solution

The third proportional to 2,225,141 and 4,568,243 is: 9,378,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,141 : 4,568,243 = 4,568,243 : x
  2. Step 2: Convert to fraction form
    2,225,141/4,568,243 = 4,568,243/x
  3. Step 3: Cross multiply
    2,225,141x = 4,568,243 × 4,568,243
  4. Step 4: Simplify right side
    2,225,141x = 20,868,844,107,049
  5. Step 5: Solve for x
    x = 20,868,844,107,049/2,225,141
  6. Step 6: Final answer
    x = 9,378,661.45

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Why These Related Problems?

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