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Finding the Third Proportional to 998,703 and 2,157,021

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Solution

The third proportional to 998,703 and 2,157,021 is: 4,658,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,703 : 2,157,021 = 2,157,021 : x
  2. Step 2: Convert to fraction form
    998,703/2,157,021 = 2,157,021/x
  3. Step 3: Cross multiply
    998,703x = 2,157,021 × 2,157,021
  4. Step 4: Simplify right side
    998,703x = 4,652,739,594,441
  5. Step 5: Solve for x
    x = 4,652,739,594,441/998,703
  6. Step 6: Final answer
    x = 4,658,782.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.