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Finding the Third Proportional to 1,205,500 and 1,823,856

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Solution

The third proportional to 1,205,500 and 1,823,856 is: 2,759,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,500 : 1,823,856 = 1,823,856 : x
  2. Step 2: Convert to fraction form
    1,205,500/1,823,856 = 1,823,856/x
  3. Step 3: Cross multiply
    1,205,500x = 1,823,856 × 1,823,856
  4. Step 4: Simplify right side
    1,205,500x = 3,326,450,708,736
  5. Step 5: Solve for x
    x = 3,326,450,708,736/1,205,500
  6. Step 6: Final answer
    x = 2,759,395.03

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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.