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Finding the Third Proportional to 998,002 and 2,182,628

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Solution

The third proportional to 998,002 and 2,182,628 is: 4,773,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,002 : 2,182,628 = 2,182,628 : x
  2. Step 2: Convert to fraction form
    998,002/2,182,628 = 2,182,628/x
  3. Step 3: Cross multiply
    998,002x = 2,182,628 × 2,182,628
  4. Step 4: Simplify right side
    998,002x = 4,763,864,986,384
  5. Step 5: Solve for x
    x = 4,763,864,986,384/998,002
  6. Step 6: Final answer
    x = 4,773,402.24

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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.