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Finding the Third Proportional to 1,605,844 and 3,489,032

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Solution

The third proportional to 1,605,844 and 3,489,032 is: 7,580,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,844 : 3,489,032 = 3,489,032 : x
  2. Step 2: Convert to fraction form
    1,605,844/3,489,032 = 3,489,032/x
  3. Step 3: Cross multiply
    1,605,844x = 3,489,032 × 3,489,032
  4. Step 4: Simplify right side
    1,605,844x = 12,173,344,297,024
  5. Step 5: Solve for x
    x = 12,173,344,297,024/1,605,844
  6. Step 6: Final answer
    x = 7,580,651.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.