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Finding the Third Proportional to 819,989 and 1,801,411

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Solution

The third proportional to 819,989 and 1,801,411 is: 3,957,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,989 : 1,801,411 = 1,801,411 : x
  2. Step 2: Convert to fraction form
    819,989/1,801,411 = 1,801,411/x
  3. Step 3: Cross multiply
    819,989x = 1,801,411 × 1,801,411
  4. Step 4: Simplify right side
    819,989x = 3,245,081,590,921
  5. Step 5: Solve for x
    x = 3,245,081,590,921/819,989
  6. Step 6: Final answer
    x = 3,957,469.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.