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Finding the Third Proportional to 1,971,199 and 2,881,962

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Solution

The third proportional to 1,971,199 and 2,881,962 is: 4,213,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,199 : 2,881,962 = 2,881,962 : x
  2. Step 2: Convert to fraction form
    1,971,199/2,881,962 = 2,881,962/x
  3. Step 3: Cross multiply
    1,971,199x = 2,881,962 × 2,881,962
  4. Step 4: Simplify right side
    1,971,199x = 8,305,704,969,444
  5. Step 5: Solve for x
    x = 8,305,704,969,444/1,971,199
  6. Step 6: Final answer
    x = 4,213,529.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.