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Finding the Third Proportional to 800,242 and 1,422,855

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Solution

The third proportional to 800,242 and 1,422,855 is: 2,529,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,242 : 1,422,855 = 1,422,855 : x
  2. Step 2: Convert to fraction form
    800,242/1,422,855 = 1,422,855/x
  3. Step 3: Cross multiply
    800,242x = 1,422,855 × 1,422,855
  4. Step 4: Simplify right side
    800,242x = 2,024,516,351,025
  5. Step 5: Solve for x
    x = 2,024,516,351,025/800,242
  6. Step 6: Final answer
    x = 2,529,880.15

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.