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Finding the Third Proportional to 1,205,285 and 1,823,480

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Solution

The third proportional to 1,205,285 and 1,823,480 is: 2,758,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,285 : 1,823,480 = 1,823,480 : x
  2. Step 2: Convert to fraction form
    1,205,285/1,823,480 = 1,823,480/x
  3. Step 3: Cross multiply
    1,205,285x = 1,823,480 × 1,823,480
  4. Step 4: Simplify right side
    1,205,285x = 3,325,079,310,400
  5. Step 5: Solve for x
    x = 3,325,079,310,400/1,205,285
  6. Step 6: Final answer
    x = 2,758,749.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.