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Finding the Third Proportional to 1,043,919 and 2,224,485

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Solution

The third proportional to 1,043,919 and 2,224,485 is: 4,740,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,919 : 2,224,485 = 2,224,485 : x
  2. Step 2: Convert to fraction form
    1,043,919/2,224,485 = 2,224,485/x
  3. Step 3: Cross multiply
    1,043,919x = 2,224,485 × 2,224,485
  4. Step 4: Simplify right side
    1,043,919x = 4,948,333,515,225
  5. Step 5: Solve for x
    x = 4,948,333,515,225/1,043,919
  6. Step 6: Final answer
    x = 4,740,150.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.