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Finding the Third Proportional to 1,919,544 and 4,200,672

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Solution

The third proportional to 1,919,544 and 4,200,672 is: 9,192,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,544 : 4,200,672 = 4,200,672 : x
  2. Step 2: Convert to fraction form
    1,919,544/4,200,672 = 4,200,672/x
  3. Step 3: Cross multiply
    1,919,544x = 4,200,672 × 4,200,672
  4. Step 4: Simplify right side
    1,919,544x = 17,645,645,251,584
  5. Step 5: Solve for x
    x = 17,645,645,251,584/1,919,544
  6. Step 6: Final answer
    x = 9,192,623.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.