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Finding the Third Proportional to 414,021 and 887,063

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Solution

The third proportional to 414,021 and 887,063 is: 1,900,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,021 : 887,063 = 887,063 : x
  2. Step 2: Convert to fraction form
    414,021/887,063 = 887,063/x
  3. Step 3: Cross multiply
    414,021x = 887,063 × 887,063
  4. Step 4: Simplify right side
    414,021x = 786,880,765,969
  5. Step 5: Solve for x
    x = 786,880,765,969/414,021
  6. Step 6: Final answer
    x = 1,900,581.77

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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.