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Finding the Third Proportional to 449,573 and 978,471

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Solution

The third proportional to 449,573 and 978,471 is: 2,129,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,573 : 978,471 = 978,471 : x
  2. Step 2: Convert to fraction form
    449,573/978,471 = 978,471/x
  3. Step 3: Cross multiply
    449,573x = 978,471 × 978,471
  4. Step 4: Simplify right side
    449,573x = 957,405,497,841
  5. Step 5: Solve for x
    x = 957,405,497,841/449,573
  6. Step 6: Final answer
    x = 2,129,588.52

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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.