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Finding the Third Proportional to 414,038 and 887,098

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Solution

The third proportional to 414,038 and 887,098 is: 1,900,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,038 : 887,098 = 887,098 : x
  2. Step 2: Convert to fraction form
    414,038/887,098 = 887,098/x
  3. Step 3: Cross multiply
    414,038x = 887,098 × 887,098
  4. Step 4: Simplify right side
    414,038x = 786,942,861,604
  5. Step 5: Solve for x
    x = 786,942,861,604/414,038
  6. Step 6: Final answer
    x = 1,900,653.71

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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.