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Finding the Third Proportional to 3,692,638 and 5,419,140

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Solution

The third proportional to 3,692,638 and 5,419,140 is: 7,952,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692,638 : 5,419,140 = 5,419,140 : x
  2. Step 2: Convert to fraction form
    3,692,638/5,419,140 = 5,419,140/x
  3. Step 3: Cross multiply
    3,692,638x = 5,419,140 × 5,419,140
  4. Step 4: Simplify right side
    3,692,638x = 29,367,078,339,600
  5. Step 5: Solve for x
    x = 29,367,078,339,600/3,692,638
  6. Step 6: Final answer
    x = 7,952,872.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.