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Finding the Third Proportional to 823,104 and 1,797,030

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Solution

The third proportional to 823,104 and 1,797,030 is: 3,923,339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,104 : 1,797,030 = 1,797,030 : x
  2. Step 2: Convert to fraction form
    823,104/1,797,030 = 1,797,030/x
  3. Step 3: Cross multiply
    823,104x = 1,797,030 × 1,797,030
  4. Step 4: Simplify right side
    823,104x = 3,229,316,820,900
  5. Step 5: Solve for x
    x = 3,229,316,820,900/823,104
  6. Step 6: Final answer
    x = 3,923,339.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.