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Finding the Third Proportional to 2,171,633.63 and 4,631,823

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Solution

The third proportional to 2,171,633.63 and 4,631,823 is: 9,879,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,633.63 : 4,631,823 = 4,631,823 : x
  2. Step 2: Convert to fraction form
    2,171,633.63/4,631,823 = 4,631,823/x
  3. Step 3: Cross multiply
    2,171,633.63x = 4,631,823 × 4,631,823
  4. Step 4: Simplify right side
    2,171,633.63x = 21,453,784,303,329
  5. Step 5: Solve for x
    x = 21,453,784,303,329/2,171,633.63
  6. Step 6: Final answer
    x = 9,879,099.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.