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Finding the Third Proportional to 837,048 and 1,808,232

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Solution

The third proportional to 837,048 and 1,808,232 is: 3,906,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,048 : 1,808,232 = 1,808,232 : x
  2. Step 2: Convert to fraction form
    837,048/1,808,232 = 1,808,232/x
  3. Step 3: Cross multiply
    837,048x = 1,808,232 × 1,808,232
  4. Step 4: Simplify right side
    837,048x = 3,269,702,965,824
  5. Step 5: Solve for x
    x = 3,269,702,965,824/837,048
  6. Step 6: Final answer
    x = 3,906,231.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.