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Finding the Third Proportional to 1,481,474 and 2,097,651

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Solution

The third proportional to 1,481,474 and 2,097,651 is: 2,970,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,474 : 2,097,651 = 2,097,651 : x
  2. Step 2: Convert to fraction form
    1,481,474/2,097,651 = 2,097,651/x
  3. Step 3: Cross multiply
    1,481,474x = 2,097,651 × 2,097,651
  4. Step 4: Simplify right side
    1,481,474x = 4,400,139,717,801
  5. Step 5: Solve for x
    x = 4,400,139,717,801/1,481,474
  6. Step 6: Final answer
    x = 2,970,109.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.