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Finding the Third Proportional to 2,444,742 and 5,310,201

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Solution

The third proportional to 2,444,742 and 5,310,201 is: 11,534,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444,742 : 5,310,201 = 5,310,201 : x
  2. Step 2: Convert to fraction form
    2,444,742/5,310,201 = 5,310,201/x
  3. Step 3: Cross multiply
    2,444,742x = 5,310,201 × 5,310,201
  4. Step 4: Simplify right side
    2,444,742x = 28,198,234,660,401
  5. Step 5: Solve for x
    x = 28,198,234,660,401/2,444,742
  6. Step 6: Final answer
    x = 11,534,237.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.