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Finding the Third Proportional to 1,085,824 and 2,339,945

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Solution

The third proportional to 1,085,824 and 2,339,945 is: 5,042,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,824 : 2,339,945 = 2,339,945 : x
  2. Step 2: Convert to fraction form
    1,085,824/2,339,945 = 2,339,945/x
  3. Step 3: Cross multiply
    1,085,824x = 2,339,945 × 2,339,945
  4. Step 4: Simplify right side
    1,085,824x = 5,475,342,603,025
  5. Step 5: Solve for x
    x = 5,475,342,603,025/1,085,824
  6. Step 6: Final answer
    x = 5,042,569.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.