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Finding the Third Proportional to 4,195,940 and 6,268,014

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Solution

The third proportional to 4,195,940 and 6,268,014 is: 9,363,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,940 : 6,268,014 = 6,268,014 : x
  2. Step 2: Convert to fraction form
    4,195,940/6,268,014 = 6,268,014/x
  3. Step 3: Cross multiply
    4,195,940x = 6,268,014 × 6,268,014
  4. Step 4: Simplify right side
    4,195,940x = 39,287,999,504,196
  5. Step 5: Solve for x
    x = 39,287,999,504,196/4,195,940
  6. Step 6: Final answer
    x = 9,363,336.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.