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Finding the Third Proportional to 2,094,896.25 and 4,499,823

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Solution

The third proportional to 2,094,896.25 and 4,499,823 is: 9,665,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,896.25 : 4,499,823 = 4,499,823 : x
  2. Step 2: Convert to fraction form
    2,094,896.25/4,499,823 = 4,499,823/x
  3. Step 3: Cross multiply
    2,094,896.25x = 4,499,823 × 4,499,823
  4. Step 4: Simplify right side
    2,094,896.25x = 20,248,407,031,329
  5. Step 5: Solve for x
    x = 20,248,407,031,329/2,094,896.25
  6. Step 6: Final answer
    x = 9,665,589.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.