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Finding the Third Proportional to 823,644 and 1,804,752

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Solution

The third proportional to 823,644 and 1,804,752 is: 3,954,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,644 : 1,804,752 = 1,804,752 : x
  2. Step 2: Convert to fraction form
    823,644/1,804,752 = 1,804,752/x
  3. Step 3: Cross multiply
    823,644x = 1,804,752 × 1,804,752
  4. Step 4: Simplify right side
    823,644x = 3,257,129,781,504
  5. Step 5: Solve for x
    x = 3,257,129,781,504/823,644
  6. Step 6: Final answer
    x = 3,954,535.92

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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.