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Finding the Third Proportional to 2,065,860 and 4,474,764

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Solution

The third proportional to 2,065,860 and 4,474,764 is: 9,692,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,860 : 4,474,764 = 4,474,764 : x
  2. Step 2: Convert to fraction form
    2,065,860/4,474,764 = 4,474,764/x
  3. Step 3: Cross multiply
    2,065,860x = 4,474,764 × 4,474,764
  4. Step 4: Simplify right side
    2,065,860x = 20,023,512,855,696
  5. Step 5: Solve for x
    x = 20,023,512,855,696/2,065,860
  6. Step 6: Final answer
    x = 9,692,579.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.