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Finding the Third Proportional to 1,669,914 and 3,722,310

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Solution

The third proportional to 1,669,914 and 3,722,310 is: 8,297,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669,914 : 3,722,310 = 3,722,310 : x
  2. Step 2: Convert to fraction form
    1,669,914/3,722,310 = 3,722,310/x
  3. Step 3: Cross multiply
    1,669,914x = 3,722,310 × 3,722,310
  4. Step 4: Simplify right side
    1,669,914x = 13,855,591,736,100
  5. Step 5: Solve for x
    x = 13,855,591,736,100/1,669,914
  6. Step 6: Final answer
    x = 8,297,188.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.