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Finding the Third Proportional to 1,143,822 and 2,258,934

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Solution

The third proportional to 1,143,822 and 2,258,934 is: 4,461,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,822 : 2,258,934 = 2,258,934 : x
  2. Step 2: Convert to fraction form
    1,143,822/2,258,934 = 2,258,934/x
  3. Step 3: Cross multiply
    1,143,822x = 2,258,934 × 2,258,934
  4. Step 4: Simplify right side
    1,143,822x = 5,102,782,816,356
  5. Step 5: Solve for x
    x = 5,102,782,816,356/1,143,822
  6. Step 6: Final answer
    x = 4,461,168.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.