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Finding the Third Proportional to 414,037 and 887,096

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Solution

The third proportional to 414,037 and 887,096 is: 1,900,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,037 : 887,096 = 887,096 : x
  2. Step 2: Convert to fraction form
    414,037/887,096 = 887,096/x
  3. Step 3: Cross multiply
    414,037x = 887,096 × 887,096
  4. Step 4: Simplify right side
    414,037x = 786,939,313,216
  5. Step 5: Solve for x
    x = 786,939,313,216/414,037
  6. Step 6: Final answer
    x = 1,900,649.73

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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.