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Finding the Third Proportional to 1,604,616 and 3,497,016

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Solution

The third proportional to 1,604,616 and 3,497,016 is: 7,621,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,616 : 3,497,016 = 3,497,016 : x
  2. Step 2: Convert to fraction form
    1,604,616/3,497,016 = 3,497,016/x
  3. Step 3: Cross multiply
    1,604,616x = 3,497,016 × 3,497,016
  4. Step 4: Simplify right side
    1,604,616x = 12,229,120,904,256
  5. Step 5: Solve for x
    x = 12,229,120,904,256/1,604,616
  6. Step 6: Final answer
    x = 7,621,213.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.