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Finding the Third Proportional to 1,777,109.63 and 3,837,393.56

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Solution

The third proportional to 1,777,109.63 and 3,837,393.56 is: 8,286,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,109.63 : 3,837,393.56 = 3,837,393.56 : x
  2. Step 2: Convert to fraction form
    1,777,109.63/3,837,393.56 = 3,837,393.56/x
  3. Step 3: Cross multiply
    1,777,109.63x = 3,837,393.56 × 3,837,393.56
  4. Step 4: Simplify right side
    1,777,109.63x = 14,725,589,353,516.44
  5. Step 5: Solve for x
    x = 14,725,589,353,516.44/1,777,109.63
  6. Step 6: Final answer
    x = 8,286,258.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.