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Finding the Third Proportional to 1,294,296 and 1,959,552

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Solution

The third proportional to 1,294,296 and 1,959,552 is: 2,966,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,296 : 1,959,552 = 1,959,552 : x
  2. Step 2: Convert to fraction form
    1,294,296/1,959,552 = 1,959,552/x
  3. Step 3: Cross multiply
    1,294,296x = 1,959,552 × 1,959,552
  4. Step 4: Simplify right side
    1,294,296x = 3,839,844,040,704
  5. Step 5: Solve for x
    x = 3,839,844,040,704/1,294,296
  6. Step 6: Final answer
    x = 2,966,743.34

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