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Finding the Third Proportional to 1,606,424 and 3,378,512

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Solution

The third proportional to 1,606,424 and 3,378,512 is: 7,105,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,424 : 3,378,512 = 3,378,512 : x
  2. Step 2: Convert to fraction form
    1,606,424/3,378,512 = 3,378,512/x
  3. Step 3: Cross multiply
    1,606,424x = 3,378,512 × 3,378,512
  4. Step 4: Simplify right side
    1,606,424x = 11,414,343,334,144
  5. Step 5: Solve for x
    x = 11,414,343,334,144/1,606,424
  6. Step 6: Final answer
    x = 7,105,436.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.