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Finding the Third Proportional to 2,854,800 and 4,168,296

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Solution

The third proportional to 2,854,800 and 4,168,296 is: 6,086,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,800 : 4,168,296 = 4,168,296 : x
  2. Step 2: Convert to fraction form
    2,854,800/4,168,296 = 4,168,296/x
  3. Step 3: Cross multiply
    2,854,800x = 4,168,296 × 4,168,296
  4. Step 4: Simplify right side
    2,854,800x = 17,374,691,543,616
  5. Step 5: Solve for x
    x = 17,374,691,543,616/2,854,800
  6. Step 6: Final answer
    x = 6,086,132.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.