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Finding the Third Proportional to 998,822 and 2,201,230

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Solution

The third proportional to 998,822 and 2,201,230 is: 4,851,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,822 : 2,201,230 = 2,201,230 : x
  2. Step 2: Convert to fraction form
    998,822/2,201,230 = 2,201,230/x
  3. Step 3: Cross multiply
    998,822x = 2,201,230 × 2,201,230
  4. Step 4: Simplify right side
    998,822x = 4,845,413,512,900
  5. Step 5: Solve for x
    x = 4,845,413,512,900/998,822
  6. Step 6: Final answer
    x = 4,851,128.14

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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.