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Finding the Third Proportional to 998,604 and 2,137,176

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Solution

The third proportional to 998,604 and 2,137,176 is: 4,573,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,604 : 2,137,176 = 2,137,176 : x
  2. Step 2: Convert to fraction form
    998,604/2,137,176 = 2,137,176/x
  3. Step 3: Cross multiply
    998,604x = 2,137,176 × 2,137,176
  4. Step 4: Simplify right side
    998,604x = 4,567,521,254,976
  5. Step 5: Solve for x
    x = 4,567,521,254,976/998,604
  6. Step 6: Final answer
    x = 4,573,906.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.