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Finding the Third Proportional to 938,774 and 2,054,668

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Solution

The third proportional to 938,774 and 2,054,668 is: 4,496,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,774 : 2,054,668 = 2,054,668 : x
  2. Step 2: Convert to fraction form
    938,774/2,054,668 = 2,054,668/x
  3. Step 3: Cross multiply
    938,774x = 2,054,668 × 2,054,668
  4. Step 4: Simplify right side
    938,774x = 4,221,660,590,224
  5. Step 5: Solve for x
    x = 4,221,660,590,224/938,774
  6. Step 6: Final answer
    x = 4,496,993.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.