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Finding the Third Proportional to 447,003 and 973,800

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Solution

The third proportional to 447,003 and 973,800 is: 2,121,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,003 : 973,800 = 973,800 : x
  2. Step 2: Convert to fraction form
    447,003/973,800 = 973,800/x
  3. Step 3: Cross multiply
    447,003x = 973,800 × 973,800
  4. Step 4: Simplify right side
    447,003x = 948,286,440,000
  5. Step 5: Solve for x
    x = 948,286,440,000/447,003
  6. Step 6: Final answer
    x = 2,121,431.94

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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.