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Finding the Third Proportional to 737,696 and 1,609,408

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Solution

The third proportional to 737,696 and 1,609,408 is: 3,511,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,696 : 1,609,408 = 1,609,408 : x
  2. Step 2: Convert to fraction form
    737,696/1,609,408 = 1,609,408/x
  3. Step 3: Cross multiply
    737,696x = 1,609,408 × 1,609,408
  4. Step 4: Simplify right side
    737,696x = 2,590,194,110,464
  5. Step 5: Solve for x
    x = 2,590,194,110,464/737,696
  6. Step 6: Final answer
    x = 3,511,194.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.