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Finding the Third Proportional to 1,729,647 and 3,683,799

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Solution

The third proportional to 1,729,647 and 3,683,799 is: 7,845,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,647 : 3,683,799 = 3,683,799 : x
  2. Step 2: Convert to fraction form
    1,729,647/3,683,799 = 3,683,799/x
  3. Step 3: Cross multiply
    1,729,647x = 3,683,799 × 3,683,799
  4. Step 4: Simplify right side
    1,729,647x = 13,570,375,072,401
  5. Step 5: Solve for x
    x = 13,570,375,072,401/1,729,647
  6. Step 6: Final answer
    x = 7,845,748.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.