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Finding the Third Proportional to 862,361 and 1,814,094

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Solution

The third proportional to 862,361 and 1,814,094 is: 3,816,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,361 : 1,814,094 = 1,814,094 : x
  2. Step 2: Convert to fraction form
    862,361/1,814,094 = 1,814,094/x
  3. Step 3: Cross multiply
    862,361x = 1,814,094 × 1,814,094
  4. Step 4: Simplify right side
    862,361x = 3,290,937,040,836
  5. Step 5: Solve for x
    x = 3,290,937,040,836/862,361
  6. Step 6: Final answer
    x = 3,816,194.19

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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.