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Finding the Third Proportional to 651,867.75 and 1,412,268.75

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Solution

The third proportional to 651,867.75 and 1,412,268.75 is: 3,059,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,867.75 : 1,412,268.75 = 1,412,268.75 : x
  2. Step 2: Convert to fraction form
    651,867.75/1,412,268.75 = 1,412,268.75/x
  3. Step 3: Cross multiply
    651,867.75x = 1,412,268.75 × 1,412,268.75
  4. Step 4: Simplify right side
    651,867.75x = 1,994,503,022,226.56
  5. Step 5: Solve for x
    x = 1,994,503,022,226.56/651,867.75
  6. Step 6: Final answer
    x = 3,059,674.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.