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Finding the Third Proportional to 414,784 and 909,916

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Solution

The third proportional to 414,784 and 909,916 is: 1,996,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,784 : 909,916 = 909,916 : x
  2. Step 2: Convert to fraction form
    414,784/909,916 = 909,916/x
  3. Step 3: Cross multiply
    414,784x = 909,916 × 909,916
  4. Step 4: Simplify right side
    414,784x = 827,947,127,056
  5. Step 5: Solve for x
    x = 827,947,127,056/414,784
  6. Step 6: Final answer
    x = 1,996,092.25

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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.