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Finding the Third Proportional to 409,256 and 867,184

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Solution

The third proportional to 409,256 and 867,184 is: 1,837,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,256 : 867,184 = 867,184 : x
  2. Step 2: Convert to fraction form
    409,256/867,184 = 867,184/x
  3. Step 3: Cross multiply
    409,256x = 867,184 × 867,184
  4. Step 4: Simplify right side
    409,256x = 752,008,089,856
  5. Step 5: Solve for x
    x = 752,008,089,856/409,256
  6. Step 6: Final answer
    x = 1,837,500.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.