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Finding the Third Proportional to 401,066 and 856,267

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Solution

The third proportional to 401,066 and 856,267 is: 1,828,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,066 : 856,267 = 856,267 : x
  2. Step 2: Convert to fraction form
    401,066/856,267 = 856,267/x
  3. Step 3: Cross multiply
    401,066x = 856,267 × 856,267
  4. Step 4: Simplify right side
    401,066x = 733,193,175,289
  5. Step 5: Solve for x
    x = 733,193,175,289/401,066
  6. Step 6: Final answer
    x = 1,828,111.02

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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.