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Finding the Third Proportional to 1,077,203 and 1,638,188

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Solution

The third proportional to 1,077,203 and 1,638,188 is: 2,491,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,203 : 1,638,188 = 1,638,188 : x
  2. Step 2: Convert to fraction form
    1,077,203/1,638,188 = 1,638,188/x
  3. Step 3: Cross multiply
    1,077,203x = 1,638,188 × 1,638,188
  4. Step 4: Simplify right side
    1,077,203x = 2,683,659,923,344
  5. Step 5: Solve for x
    x = 2,683,659,923,344/1,077,203
  6. Step 6: Final answer
    x = 2,491,322.36

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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.