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Finding the Third Proportional to 427,181 and 909,578

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Solution

The third proportional to 427,181 and 909,578 is: 1,936,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,181 : 909,578 = 909,578 : x
  2. Step 2: Convert to fraction form
    427,181/909,578 = 909,578/x
  3. Step 3: Cross multiply
    427,181x = 909,578 × 909,578
  4. Step 4: Simplify right side
    427,181x = 827,332,138,084
  5. Step 5: Solve for x
    x = 827,332,138,084/427,181
  6. Step 6: Final answer
    x = 1,936,725.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.