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Finding the Third Proportional to 2,065,776 and 4,474,704

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Solution

The third proportional to 2,065,776 and 4,474,704 is: 9,692,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,776 : 4,474,704 = 4,474,704 : x
  2. Step 2: Convert to fraction form
    2,065,776/4,474,704 = 4,474,704/x
  3. Step 3: Cross multiply
    2,065,776x = 4,474,704 × 4,474,704
  4. Step 4: Simplify right side
    2,065,776x = 20,022,975,887,616
  5. Step 5: Solve for x
    x = 20,022,975,887,616/2,065,776
  6. Step 6: Final answer
    x = 9,692,713.97

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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.