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Finding the Third Proportional to 1,077,191 and 1,638,167

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Solution

The third proportional to 1,077,191 and 1,638,167 is: 2,491,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,191 : 1,638,167 = 1,638,167 : x
  2. Step 2: Convert to fraction form
    1,077,191/1,638,167 = 1,638,167/x
  3. Step 3: Cross multiply
    1,077,191x = 1,638,167 × 1,638,167
  4. Step 4: Simplify right side
    1,077,191x = 2,683,591,119,889
  5. Step 5: Solve for x
    x = 2,683,591,119,889/1,077,191
  6. Step 6: Final answer
    x = 2,491,286.24

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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.