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Finding the Third Proportional to 2,065,718 and 4,474,468

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Solution

The third proportional to 2,065,718 and 4,474,468 is: 9,691,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,718 : 4,474,468 = 4,474,468 : x
  2. Step 2: Convert to fraction form
    2,065,718/4,474,468 = 4,474,468/x
  3. Step 3: Cross multiply
    2,065,718x = 4,474,468 × 4,474,468
  4. Step 4: Simplify right side
    2,065,718x = 20,020,863,883,024
  5. Step 5: Solve for x
    x = 20,020,863,883,024/2,065,718
  6. Step 6: Final answer
    x = 9,691,963.71

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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.