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Finding the Third Proportional to 852,452.86 and 1,809,984.23

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Solution

The third proportional to 852,452.86 and 1,809,984.23 is: 3,843,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,452.86 : 1,809,984.23 = 1,809,984.23 : x
  2. Step 2: Convert to fraction form
    852,452.86/1,809,984.23 = 1,809,984.23/x
  3. Step 3: Cross multiply
    852,452.86x = 1,809,984.23 × 1,809,984.23
  4. Step 4: Simplify right side
    852,452.86x = 3,276,042,928,686.06
  5. Step 5: Solve for x
    x = 3,276,042,928,686.06/852,452.86
  6. Step 6: Final answer
    x = 3,843,078.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.