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Finding the Third Proportional to 401,834 and 856,980

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Solution

The third proportional to 401,834 and 856,980 is: 1,827,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,834 : 856,980 = 856,980 : x
  2. Step 2: Convert to fraction form
    401,834/856,980 = 856,980/x
  3. Step 3: Cross multiply
    401,834x = 856,980 × 856,980
  4. Step 4: Simplify right side
    401,834x = 734,414,720,400
  5. Step 5: Solve for x
    x = 734,414,720,400/401,834
  6. Step 6: Final answer
    x = 1,827,656.99

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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.