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Finding the Third Proportional to 2,163,864 and 3,368,256

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Solution

The third proportional to 2,163,864 and 3,368,256 is: 5,243,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,864 : 3,368,256 = 3,368,256 : x
  2. Step 2: Convert to fraction form
    2,163,864/3,368,256 = 3,368,256/x
  3. Step 3: Cross multiply
    2,163,864x = 3,368,256 × 3,368,256
  4. Step 4: Simplify right side
    2,163,864x = 11,345,148,481,536
  5. Step 5: Solve for x
    x = 11,345,148,481,536/2,163,864
  6. Step 6: Final answer
    x = 5,243,004.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.