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Finding the Third Proportional to 862,399 and 1,814,165

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Solution

The third proportional to 862,399 and 1,814,165 is: 3,816,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,399 : 1,814,165 = 1,814,165 : x
  2. Step 2: Convert to fraction form
    862,399/1,814,165 = 1,814,165/x
  3. Step 3: Cross multiply
    862,399x = 1,814,165 × 1,814,165
  4. Step 4: Simplify right side
    862,399x = 3,291,194,647,225
  5. Step 5: Solve for x
    x = 3,291,194,647,225/862,399
  6. Step 6: Final answer
    x = 3,816,324.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.