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Finding the Third Proportional to 823,496.63 and 1,784,453.63

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Solution

The third proportional to 823,496.63 and 1,784,453.63 is: 3,866,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,496.63 : 1,784,453.63 = 1,784,453.63 : x
  2. Step 2: Convert to fraction form
    823,496.63/1,784,453.63 = 1,784,453.63/x
  3. Step 3: Cross multiply
    823,496.63x = 1,784,453.63 × 1,784,453.63
  4. Step 4: Simplify right side
    823,496.63x = 3,184,274,739,775.64
  5. Step 5: Solve for x
    x = 3,184,274,739,775.64/823,496.63
  6. Step 6: Final answer
    x = 3,866,773.27

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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.