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Finding the Third Proportional to 2,105,991 and 4,548,213

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Solution

The third proportional to 2,105,991 and 4,548,213 is: 9,822,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,991 : 4,548,213 = 4,548,213 : x
  2. Step 2: Convert to fraction form
    2,105,991/4,548,213 = 4,548,213/x
  3. Step 3: Cross multiply
    2,105,991x = 4,548,213 × 4,548,213
  4. Step 4: Simplify right side
    2,105,991x = 20,686,241,493,369
  5. Step 5: Solve for x
    x = 20,686,241,493,369/2,105,991
  6. Step 6: Final answer
    x = 9,822,568.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.