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Finding the Third Proportional to 447,244 and 973,219

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Solution

The third proportional to 447,244 and 973,219 is: 2,117,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,244 : 973,219 = 973,219 : x
  2. Step 2: Convert to fraction form
    447,244/973,219 = 973,219/x
  3. Step 3: Cross multiply
    447,244x = 973,219 × 973,219
  4. Step 4: Simplify right side
    447,244x = 947,155,221,961
  5. Step 5: Solve for x
    x = 947,155,221,961/447,244
  6. Step 6: Final answer
    x = 2,117,759.48

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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.