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Finding the Third Proportional to 854,690.25 and 1,823,788.50

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Solution

The third proportional to 854,690.25 and 1,823,788.50 is: 3,891,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,690.25 : 1,823,788.50 = 1,823,788.50 : x
  2. Step 2: Convert to fraction form
    854,690.25/1,823,788.50 = 1,823,788.50/x
  3. Step 3: Cross multiply
    854,690.25x = 1,823,788.50 × 1,823,788.50
  4. Step 4: Simplify right side
    854,690.25x = 3,326,204,492,732.25
  5. Step 5: Solve for x
    x = 3,326,204,492,732.25/854,690.25
  6. Step 6: Final answer
    x = 3,891,707.54

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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.