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Finding the Third Proportional to 996,928 and 2,193,138

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Solution

The third proportional to 996,928 and 2,193,138 is: 4,824,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,928 : 2,193,138 = 2,193,138 : x
  2. Step 2: Convert to fraction form
    996,928/2,193,138 = 2,193,138/x
  3. Step 3: Cross multiply
    996,928x = 2,193,138 × 2,193,138
  4. Step 4: Simplify right side
    996,928x = 4,809,854,287,044
  5. Step 5: Solve for x
    x = 4,809,854,287,044/996,928
  6. Step 6: Final answer
    x = 4,824,675.69

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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.