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Finding the Third Proportional to 2,082,946 and 4,331,764

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Solution

The third proportional to 2,082,946 and 4,331,764 is: 9,008,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,946 : 4,331,764 = 4,331,764 : x
  2. Step 2: Convert to fraction form
    2,082,946/4,331,764 = 4,331,764/x
  3. Step 3: Cross multiply
    2,082,946x = 4,331,764 × 4,331,764
  4. Step 4: Simplify right side
    2,082,946x = 18,764,179,351,696
  5. Step 5: Solve for x
    x = 18,764,179,351,696/2,082,946
  6. Step 6: Final answer
    x = 9,008,480.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.