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Finding the Third Proportional to 823,335 and 1,802,190

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Solution

The third proportional to 823,335 and 1,802,190 is: 3,944,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,335 : 1,802,190 = 1,802,190 : x
  2. Step 2: Convert to fraction form
    823,335/1,802,190 = 1,802,190/x
  3. Step 3: Cross multiply
    823,335x = 1,802,190 × 1,802,190
  4. Step 4: Simplify right side
    823,335x = 3,247,888,796,100
  5. Step 5: Solve for x
    x = 3,247,888,796,100/823,335
  6. Step 6: Final answer
    x = 3,944,796.22

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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.