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Finding the Third Proportional to 1,333,933.31 and 1,997,232.19

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Solution

The third proportional to 1,333,933.31 and 1,997,232.19 is: 2,990,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,933.31 : 1,997,232.19 = 1,997,232.19 : x
  2. Step 2: Convert to fraction form
    1,333,933.31/1,997,232.19 = 1,997,232.19/x
  3. Step 3: Cross multiply
    1,333,933.31x = 1,997,232.19 × 1,997,232.19
  4. Step 4: Simplify right side
    1,333,933.31x = 3,988,936,410,786.04
  5. Step 5: Solve for x
    x = 3,988,936,410,786.04/1,333,933.31
  6. Step 6: Final answer
    x = 2,990,356.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.