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Finding the Third Proportional to 2,203,953 and 3,405,668

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Solution

The third proportional to 2,203,953 and 3,405,668 is: 5,262,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203,953 : 3,405,668 = 3,405,668 : x
  2. Step 2: Convert to fraction form
    2,203,953/3,405,668 = 3,405,668/x
  3. Step 3: Cross multiply
    2,203,953x = 3,405,668 × 3,405,668
  4. Step 4: Simplify right side
    2,203,953x = 11,598,574,526,224
  5. Step 5: Solve for x
    x = 11,598,574,526,224/2,203,953
  6. Step 6: Final answer
    x = 5,262,623.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.