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Finding the Third Proportional to 823,646 and 1,804,756

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Solution

The third proportional to 823,646 and 1,804,756 is: 3,954,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,646 : 1,804,756 = 1,804,756 : x
  2. Step 2: Convert to fraction form
    823,646/1,804,756 = 1,804,756/x
  3. Step 3: Cross multiply
    823,646x = 1,804,756 × 1,804,756
  4. Step 4: Simplify right side
    823,646x = 3,257,144,219,536
  5. Step 5: Solve for x
    x = 3,257,144,219,536/823,646
  6. Step 6: Final answer
    x = 3,954,543.84

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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.