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Finding the Third Proportional to 1,416,122 and 2,164,821

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Solution

The third proportional to 1,416,122 and 2,164,821 is: 3,309,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,122 : 2,164,821 = 2,164,821 : x
  2. Step 2: Convert to fraction form
    1,416,122/2,164,821 = 2,164,821/x
  3. Step 3: Cross multiply
    1,416,122x = 2,164,821 × 2,164,821
  4. Step 4: Simplify right side
    1,416,122x = 4,686,449,962,041
  5. Step 5: Solve for x
    x = 4,686,449,962,041/1,416,122
  6. Step 6: Final answer
    x = 3,309,354.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.