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Finding the Third Proportional to 456,090.75 and 978,594.75

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Solution

The third proportional to 456,090.75 and 978,594.75 is: 2,099,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,090.75 : 978,594.75 = 978,594.75 : x
  2. Step 2: Convert to fraction form
    456,090.75/978,594.75 = 978,594.75/x
  3. Step 3: Cross multiply
    456,090.75x = 978,594.75 × 978,594.75
  4. Step 4: Simplify right side
    456,090.75x = 957,647,684,727.56
  5. Step 5: Solve for x
    x = 957,647,684,727.56/456,090.75
  6. Step 6: Final answer
    x = 2,099,686.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.