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Finding the Third Proportional to 1,284,478 and 2,823,197

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Solution

The third proportional to 1,284,478 and 2,823,197 is: 6,205,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,478 : 2,823,197 = 2,823,197 : x
  2. Step 2: Convert to fraction form
    1,284,478/2,823,197 = 2,823,197/x
  3. Step 3: Cross multiply
    1,284,478x = 2,823,197 × 2,823,197
  4. Step 4: Simplify right side
    1,284,478x = 7,970,441,300,809
  5. Step 5: Solve for x
    x = 7,970,441,300,809/1,284,478
  6. Step 6: Final answer
    x = 6,205,198.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.