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Finding the Third Proportional to 449,375 and 978,103

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Solution

The third proportional to 449,375 and 978,103 is: 2,128,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,375 : 978,103 = 978,103 : x
  2. Step 2: Convert to fraction form
    449,375/978,103 = 978,103/x
  3. Step 3: Cross multiply
    449,375x = 978,103 × 978,103
  4. Step 4: Simplify right side
    449,375x = 956,685,478,609
  5. Step 5: Solve for x
    x = 956,685,478,609/449,375
  6. Step 6: Final answer
    x = 2,128,924.57

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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.