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Finding the Third Proportional to 1,489,716 and 2,183,031

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Solution

The third proportional to 1,489,716 and 2,183,031 is: 3,199,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489,716 : 2,183,031 = 2,183,031 : x
  2. Step 2: Convert to fraction form
    1,489,716/2,183,031 = 2,183,031/x
  3. Step 3: Cross multiply
    1,489,716x = 2,183,031 × 2,183,031
  4. Step 4: Simplify right side
    1,489,716x = 4,765,624,346,961
  5. Step 5: Solve for x
    x = 4,765,624,346,961/1,489,716
  6. Step 6: Final answer
    x = 3,199,015.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.