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Finding the Third Proportional to 2,179,864 and 3,402,256

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Solution

The third proportional to 2,179,864 and 3,402,256 is: 5,310,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,864 : 3,402,256 = 3,402,256 : x
  2. Step 2: Convert to fraction form
    2,179,864/3,402,256 = 3,402,256/x
  3. Step 3: Cross multiply
    2,179,864x = 3,402,256 × 3,402,256
  4. Step 4: Simplify right side
    2,179,864x = 11,575,345,889,536
  5. Step 5: Solve for x
    x = 11,575,345,889,536/2,179,864
  6. Step 6: Final answer
    x = 5,310,122.97

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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.