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Finding the Third Proportional to 4,214,816 and 6,022,884

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Solution

The third proportional to 4,214,816 and 6,022,884 is: 8,606,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214,816 : 6,022,884 = 6,022,884 : x
  2. Step 2: Convert to fraction form
    4,214,816/6,022,884 = 6,022,884/x
  3. Step 3: Cross multiply
    4,214,816x = 6,022,884 × 6,022,884
  4. Step 4: Simplify right side
    4,214,816x = 36,275,131,677,456
  5. Step 5: Solve for x
    x = 36,275,131,677,456/4,214,816
  6. Step 6: Final answer
    x = 8,606,575.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.