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Finding the Third Proportional to 2,022,894 and 4,303,238

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Solution

The third proportional to 2,022,894 and 4,303,238 is: 9,154,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,894 : 4,303,238 = 4,303,238 : x
  2. Step 2: Convert to fraction form
    2,022,894/4,303,238 = 4,303,238/x
  3. Step 3: Cross multiply
    2,022,894x = 4,303,238 × 4,303,238
  4. Step 4: Simplify right side
    2,022,894x = 18,517,857,284,644
  5. Step 5: Solve for x
    x = 18,517,857,284,644/2,022,894
  6. Step 6: Final answer
    x = 9,154,141.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.