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Finding the Third Proportional to 1,991,961 and 4,321,692

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Solution

The third proportional to 1,991,961 and 4,321,692 is: 9,376,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,961 : 4,321,692 = 4,321,692 : x
  2. Step 2: Convert to fraction form
    1,991,961/4,321,692 = 4,321,692/x
  3. Step 3: Cross multiply
    1,991,961x = 4,321,692 × 4,321,692
  4. Step 4: Simplify right side
    1,991,961x = 18,677,021,742,864
  5. Step 5: Solve for x
    x = 18,677,021,742,864/1,991,961
  6. Step 6: Final answer
    x = 9,376,198.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.