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Finding the Third Proportional to 2,769,147.84 and 4,190,698.27

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Solution

The third proportional to 2,769,147.84 and 4,190,698.27 is: 6,342,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,147.84 : 4,190,698.27 = 4,190,698.27 : x
  2. Step 2: Convert to fraction form
    2,769,147.84/4,190,698.27 = 4,190,698.27/x
  3. Step 3: Cross multiply
    2,769,147.84x = 4,190,698.27 × 4,190,698.27
  4. Step 4: Simplify right side
    2,769,147.84x = 17,561,951,953,512.38
  5. Step 5: Solve for x
    x = 17,561,951,953,512.38/2,769,147.84
  6. Step 6: Final answer
    x = 6,342,005.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.