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Finding the Third Proportional to 2,036,927 and 4,424,177

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Solution

The third proportional to 2,036,927 and 4,424,177 is: 9,609,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,927 : 4,424,177 = 4,424,177 : x
  2. Step 2: Convert to fraction form
    2,036,927/4,424,177 = 4,424,177/x
  3. Step 3: Cross multiply
    2,036,927x = 4,424,177 × 4,424,177
  4. Step 4: Simplify right side
    2,036,927x = 19,573,342,127,329
  5. Step 5: Solve for x
    x = 19,573,342,127,329/2,036,927
  6. Step 6: Final answer
    x = 9,609,250.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.