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Finding the Third Proportional to 2,709,137 and 3,689,971

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Solution

The third proportional to 2,709,137 and 3,689,971 is: 5,025,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,137 : 3,689,971 = 3,689,971 : x
  2. Step 2: Convert to fraction form
    2,709,137/3,689,971 = 3,689,971/x
  3. Step 3: Cross multiply
    2,709,137x = 3,689,971 × 3,689,971
  4. Step 4: Simplify right side
    2,709,137x = 13,615,885,980,841
  5. Step 5: Solve for x
    x = 13,615,885,980,841/2,709,137
  6. Step 6: Final answer
    x = 5,025,912.67

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.