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Finding the Third Proportional to 1,739,856 and 2,450,064

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Solution

The third proportional to 1,739,856 and 2,450,064 is: 3,450,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,856 : 2,450,064 = 2,450,064 : x
  2. Step 2: Convert to fraction form
    1,739,856/2,450,064 = 2,450,064/x
  3. Step 3: Cross multiply
    1,739,856x = 2,450,064 × 2,450,064
  4. Step 4: Simplify right side
    1,739,856x = 6,002,813,604,096
  5. Step 5: Solve for x
    x = 6,002,813,604,096/1,739,856
  6. Step 6: Final answer
    x = 3,450,178.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.