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Finding the Third Proportional to 414,036 and 887,094

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Solution

The third proportional to 414,036 and 887,094 is: 1,900,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,036 : 887,094 = 887,094 : x
  2. Step 2: Convert to fraction form
    414,036/887,094 = 887,094/x
  3. Step 3: Cross multiply
    414,036x = 887,094 × 887,094
  4. Step 4: Simplify right side
    414,036x = 786,935,764,836
  5. Step 5: Solve for x
    x = 786,935,764,836/414,036
  6. Step 6: Final answer
    x = 1,900,645.75

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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.