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Finding the Third Proportional to 1,728,939 and 3,794,178

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Solution

The third proportional to 1,728,939 and 3,794,178 is: 8,326,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,939 : 3,794,178 = 3,794,178 : x
  2. Step 2: Convert to fraction form
    1,728,939/3,794,178 = 3,794,178/x
  3. Step 3: Cross multiply
    1,728,939x = 3,794,178 × 3,794,178
  4. Step 4: Simplify right side
    1,728,939x = 14,395,786,695,684
  5. Step 5: Solve for x
    x = 14,395,786,695,684/1,728,939
  6. Step 6: Final answer
    x = 8,326,370.51

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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.