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Finding the Third Proportional to 407,850.19 and 874,747.69

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Solution

The third proportional to 407,850.19 and 874,747.69 is: 1,876,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,850.19 : 874,747.69 = 874,747.69 : x
  2. Step 2: Convert to fraction form
    407,850.19/874,747.69 = 874,747.69/x
  3. Step 3: Cross multiply
    407,850.19x = 874,747.69 × 874,747.69
  4. Step 4: Simplify right side
    407,850.19x = 765,183,516,786.60
  5. Step 5: Solve for x
    x = 765,183,516,786.60/407,850.19
  6. Step 6: Final answer
    x = 1,876,138.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.