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Finding the Third Proportional to 1,728,947 and 3,794,196

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Solution

The third proportional to 1,728,947 and 3,794,196 is: 8,326,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,947 : 3,794,196 = 3,794,196 : x
  2. Step 2: Convert to fraction form
    1,728,947/3,794,196 = 3,794,196/x
  3. Step 3: Cross multiply
    1,728,947x = 3,794,196 × 3,794,196
  4. Step 4: Simplify right side
    1,728,947x = 14,395,923,286,416
  5. Step 5: Solve for x
    x = 14,395,923,286,416/1,728,947
  6. Step 6: Final answer
    x = 8,326,410.98

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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.