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Finding the Third Proportional to 2,069,764 and 4,524,296

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Solution

The third proportional to 2,069,764 and 4,524,296 is: 9,889,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,764 : 4,524,296 = 4,524,296 : x
  2. Step 2: Convert to fraction form
    2,069,764/4,524,296 = 4,524,296/x
  3. Step 3: Cross multiply
    2,069,764x = 4,524,296 × 4,524,296
  4. Step 4: Simplify right side
    2,069,764x = 20,469,254,295,616
  5. Step 5: Solve for x
    x = 20,469,254,295,616/2,069,764
  6. Step 6: Final answer
    x = 9,889,656.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.