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Finding the Third Proportional to 414,039 and 887,100

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Solution

The third proportional to 414,039 and 887,100 is: 1,900,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,039 : 887,100 = 887,100 : x
  2. Step 2: Convert to fraction form
    414,039/887,100 = 887,100/x
  3. Step 3: Cross multiply
    414,039x = 887,100 × 887,100
  4. Step 4: Simplify right side
    414,039x = 786,946,410,000
  5. Step 5: Solve for x
    x = 786,946,410,000/414,039
  6. Step 6: Final answer
    x = 1,900,657.69

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Why These Related Problems?

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