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Finding the Third Proportional to 685,941 and 1,477,236

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Solution

The third proportional to 685,941 and 1,477,236 is: 3,181,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,941 : 1,477,236 = 1,477,236 : x
  2. Step 2: Convert to fraction form
    685,941/1,477,236 = 1,477,236/x
  3. Step 3: Cross multiply
    685,941x = 1,477,236 × 1,477,236
  4. Step 4: Simplify right side
    685,941x = 2,182,226,199,696
  5. Step 5: Solve for x
    x = 2,182,226,199,696/685,941
  6. Step 6: Final answer
    x = 3,181,361.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.