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Finding the Third Proportional to 1,336,416 and 2,879,616

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Solution

The third proportional to 1,336,416 and 2,879,616 is: 6,204,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336,416 : 2,879,616 = 2,879,616 : x
  2. Step 2: Convert to fraction form
    1,336,416/2,879,616 = 2,879,616/x
  3. Step 3: Cross multiply
    1,336,416x = 2,879,616 × 2,879,616
  4. Step 4: Simplify right side
    1,336,416x = 8,292,188,307,456
  5. Step 5: Solve for x
    x = 8,292,188,307,456/1,336,416
  6. Step 6: Final answer
    x = 6,204,795.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.