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Finding the Third Proportional to 447,033.94 and 973,869.75

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Solution

The third proportional to 447,033.94 and 973,869.75 is: 2,121,589.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,033.94 : 973,869.75 = 973,869.75 : x
  2. Step 2: Convert to fraction form
    447,033.94/973,869.75 = 973,869.75/x
  3. Step 3: Cross multiply
    447,033.94x = 973,869.75 × 973,869.75
  4. Step 4: Simplify right side
    447,033.94x = 948,422,289,965.06
  5. Step 5: Solve for x
    x = 948,422,289,965.06/447,033.94
  6. Step 6: Final answer
    x = 2,121,589.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.