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Finding the Third Proportional to 2,109,024 and 4,976,512

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Solution

The third proportional to 2,109,024 and 4,976,512 is: 11,742,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,024 : 4,976,512 = 4,976,512 : x
  2. Step 2: Convert to fraction form
    2,109,024/4,976,512 = 4,976,512/x
  3. Step 3: Cross multiply
    2,109,024x = 4,976,512 × 4,976,512
  4. Step 4: Simplify right side
    2,109,024x = 24,765,671,686,144
  5. Step 5: Solve for x
    x = 24,765,671,686,144/2,109,024
  6. Step 6: Final answer
    x = 11,742,716.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.