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Finding the Third Proportional to 444,615 and 973,956

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Solution

The third proportional to 444,615 and 973,956 is: 2,133,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,615 : 973,956 = 973,956 : x
  2. Step 2: Convert to fraction form
    444,615/973,956 = 973,956/x
  3. Step 3: Cross multiply
    444,615x = 973,956 × 973,956
  4. Step 4: Simplify right side
    444,615x = 948,590,289,936
  5. Step 5: Solve for x
    x = 948,590,289,936/444,615
  6. Step 6: Final answer
    x = 2,133,509.42

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Why These Related Problems?

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