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Finding the Third Proportional to 1,919,541 and 4,200,666

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Solution

The third proportional to 1,919,541 and 4,200,666 is: 9,192,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,541 : 4,200,666 = 4,200,666 : x
  2. Step 2: Convert to fraction form
    1,919,541/4,200,666 = 4,200,666/x
  3. Step 3: Cross multiply
    1,919,541x = 4,200,666 × 4,200,666
  4. Step 4: Simplify right side
    1,919,541x = 17,645,594,843,556
  5. Step 5: Solve for x
    x = 17,645,594,843,556/1,919,541
  6. Step 6: Final answer
    x = 9,192,611.59

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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.