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Finding the Third Proportional to 1,968,181.94 and 2,942,026.38

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Solution

The third proportional to 1,968,181.94 and 2,942,026.38 is: 4,397,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,181.94 : 2,942,026.38 = 2,942,026.38 : x
  2. Step 2: Convert to fraction form
    1,968,181.94/2,942,026.38 = 2,942,026.38/x
  3. Step 3: Cross multiply
    1,968,181.94x = 2,942,026.38 × 2,942,026.38
  4. Step 4: Simplify right side
    1,968,181.94x = 8,655,519,191,195.64
  5. Step 5: Solve for x
    x = 8,655,519,191,195.64/1,968,181.94
  6. Step 6: Final answer
    x = 4,397,723.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.