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Finding the Third Proportional to 947,170 and 2,028,692

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Solution

The third proportional to 947,170 and 2,028,692 is: 4,345,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,170 : 2,028,692 = 2,028,692 : x
  2. Step 2: Convert to fraction form
    947,170/2,028,692 = 2,028,692/x
  3. Step 3: Cross multiply
    947,170x = 2,028,692 × 2,028,692
  4. Step 4: Simplify right side
    947,170x = 4,115,591,230,864
  5. Step 5: Solve for x
    x = 4,115,591,230,864/947,170
  6. Step 6: Final answer
    x = 4,345,145.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.