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Finding the Third Proportional to 2,176,738 and 5,083,039

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Solution

The third proportional to 2,176,738 and 5,083,039 is: 11,869,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,738 : 5,083,039 = 5,083,039 : x
  2. Step 2: Convert to fraction form
    2,176,738/5,083,039 = 5,083,039/x
  3. Step 3: Cross multiply
    2,176,738x = 5,083,039 × 5,083,039
  4. Step 4: Simplify right side
    2,176,738x = 25,837,285,475,521
  5. Step 5: Solve for x
    x = 25,837,285,475,521/2,176,738
  6. Step 6: Final answer
    x = 11,869,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.