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Finding the Third Proportional to 1,971,828 and 4,037,064

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Solution

The third proportional to 1,971,828 and 4,037,064 is: 8,265,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,828 : 4,037,064 = 4,037,064 : x
  2. Step 2: Convert to fraction form
    1,971,828/4,037,064 = 4,037,064/x
  3. Step 3: Cross multiply
    1,971,828x = 4,037,064 × 4,037,064
  4. Step 4: Simplify right side
    1,971,828x = 16,297,885,740,096
  5. Step 5: Solve for x
    x = 16,297,885,740,096/1,971,828
  6. Step 6: Final answer
    x = 8,265,368.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.