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Finding the Third Proportional to 3,191,920 and 6,826,208

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Solution

The third proportional to 3,191,920 and 6,826,208 is: 14,598,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,920 : 6,826,208 = 6,826,208 : x
  2. Step 2: Convert to fraction form
    3,191,920/6,826,208 = 6,826,208/x
  3. Step 3: Cross multiply
    3,191,920x = 6,826,208 × 6,826,208
  4. Step 4: Simplify right side
    3,191,920x = 46,597,115,659,264
  5. Step 5: Solve for x
    x = 46,597,115,659,264/3,191,920
  6. Step 6: Final answer
    x = 14,598,459.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.