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Finding the Third Proportional to 1,058,016 and 1,609,172

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Solution

The third proportional to 1,058,016 and 1,609,172 is: 2,447,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,016 : 1,609,172 = 1,609,172 : x
  2. Step 2: Convert to fraction form
    1,058,016/1,609,172 = 1,609,172/x
  3. Step 3: Cross multiply
    1,058,016x = 1,609,172 × 1,609,172
  4. Step 4: Simplify right side
    1,058,016x = 2,589,434,525,584
  5. Step 5: Solve for x
    x = 2,589,434,525,584/1,058,016
  6. Step 6: Final answer
    x = 2,447,443.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.