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Finding the Third Proportional to 1,917,077.78 and 2,801,467.27

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Solution

The third proportional to 1,917,077.78 and 2,801,467.27 is: 4,093,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917,077.78 : 2,801,467.27 = 2,801,467.27 : x
  2. Step 2: Convert to fraction form
    1,917,077.78/2,801,467.27 = 2,801,467.27/x
  3. Step 3: Cross multiply
    1,917,077.78x = 2,801,467.27 × 2,801,467.27
  4. Step 4: Simplify right side
    1,917,077.78x = 7,848,218,840,368.41
  5. Step 5: Solve for x
    x = 7,848,218,840,368.41/1,917,077.78
  6. Step 6: Final answer
    x = 4,093,844.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.