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Finding the Third Proportional to 2,210,122 and 3,412,815

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Solution

The third proportional to 2,210,122 and 3,412,815 is: 5,269,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,122 : 3,412,815 = 3,412,815 : x
  2. Step 2: Convert to fraction form
    2,210,122/3,412,815 = 3,412,815/x
  3. Step 3: Cross multiply
    2,210,122x = 3,412,815 × 3,412,815
  4. Step 4: Simplify right side
    2,210,122x = 11,647,306,224,225
  5. Step 5: Solve for x
    x = 11,647,306,224,225/2,210,122
  6. Step 6: Final answer
    x = 5,269,983.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.