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Finding the Third Proportional to 809,669.25 and 1,731,449.25

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Solution

The third proportional to 809,669.25 and 1,731,449.25 is: 3,702,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,669.25 : 1,731,449.25 = 1,731,449.25 : x
  2. Step 2: Convert to fraction form
    809,669.25/1,731,449.25 = 1,731,449.25/x
  3. Step 3: Cross multiply
    809,669.25x = 1,731,449.25 × 1,731,449.25
  4. Step 4: Simplify right side
    809,669.25x = 2,997,916,505,325.56
  5. Step 5: Solve for x
    x = 2,997,916,505,325.56/809,669.25
  6. Step 6: Final answer
    x = 3,702,643.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.