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Finding the Third Proportional to 821,085.19 and 1,230,396.75

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Solution

The third proportional to 821,085.19 and 1,230,396.75 is: 1,843,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,085.19 : 1,230,396.75 = 1,230,396.75 : x
  2. Step 2: Convert to fraction form
    821,085.19/1,230,396.75 = 1,230,396.75/x
  3. Step 3: Cross multiply
    821,085.19x = 1,230,396.75 × 1,230,396.75
  4. Step 4: Simplify right side
    821,085.19x = 1,513,876,162,410.56
  5. Step 5: Solve for x
    x = 1,513,876,162,410.56/821,085.19
  6. Step 6: Final answer
    x = 1,843,750.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.