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Finding the Third Proportional to 1,918,788 and 4,198,089

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Solution

The third proportional to 1,918,788 and 4,198,089 is: 9,184,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,788 : 4,198,089 = 4,198,089 : x
  2. Step 2: Convert to fraction form
    1,918,788/4,198,089 = 4,198,089/x
  3. Step 3: Cross multiply
    1,918,788x = 4,198,089 × 4,198,089
  4. Step 4: Simplify right side
    1,918,788x = 17,623,951,251,921
  5. Step 5: Solve for x
    x = 17,623,951,251,921/1,918,788
  6. Step 6: Final answer
    x = 9,184,939.27

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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.