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Finding the Third Proportional to 993,738 and 2,144,847

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Solution

The third proportional to 993,738 and 2,144,847 is: 4,629,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,738 : 2,144,847 = 2,144,847 : x
  2. Step 2: Convert to fraction form
    993,738/2,144,847 = 2,144,847/x
  3. Step 3: Cross multiply
    993,738x = 2,144,847 × 2,144,847
  4. Step 4: Simplify right side
    993,738x = 4,600,368,653,409
  5. Step 5: Solve for x
    x = 4,600,368,653,409/993,738
  6. Step 6: Final answer
    x = 4,629,357.69

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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.