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Finding the Third Proportional to 823,630 and 1,804,724

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Solution

The third proportional to 823,630 and 1,804,724 is: 3,954,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,630 : 1,804,724 = 1,804,724 : x
  2. Step 2: Convert to fraction form
    823,630/1,804,724 = 1,804,724/x
  3. Step 3: Cross multiply
    823,630x = 1,804,724 × 1,804,724
  4. Step 4: Simplify right side
    823,630x = 3,257,028,716,176
  5. Step 5: Solve for x
    x = 3,257,028,716,176/823,630
  6. Step 6: Final answer
    x = 3,954,480.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.