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Finding the Third Proportional to 998,096 and 1,534,168

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Solution

The third proportional to 998,096 and 1,534,168 is: 2,358,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,096 : 1,534,168 = 1,534,168 : x
  2. Step 2: Convert to fraction form
    998,096/1,534,168 = 1,534,168/x
  3. Step 3: Cross multiply
    998,096x = 1,534,168 × 1,534,168
  4. Step 4: Simplify right side
    998,096x = 2,353,671,452,224
  5. Step 5: Solve for x
    x = 2,353,671,452,224/998,096
  6. Step 6: Final answer
    x = 2,358,161.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.