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Finding the Third Proportional to 414,762 and 909,876

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Solution

The third proportional to 414,762 and 909,876 is: 1,996,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,762 : 909,876 = 909,876 : x
  2. Step 2: Convert to fraction form
    414,762/909,876 = 909,876/x
  3. Step 3: Cross multiply
    414,762x = 909,876 × 909,876
  4. Step 4: Simplify right side
    414,762x = 827,874,335,376
  5. Step 5: Solve for x
    x = 827,874,335,376/414,762
  6. Step 6: Final answer
    x = 1,996,022.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.