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Finding the Third Proportional to 1,918,791 and 4,198,094

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Solution

The third proportional to 1,918,791 and 4,198,094 is: 9,184,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,791 : 4,198,094 = 4,198,094 : x
  2. Step 2: Convert to fraction form
    1,918,791/4,198,094 = 4,198,094/x
  3. Step 3: Cross multiply
    1,918,791x = 4,198,094 × 4,198,094
  4. Step 4: Simplify right side
    1,918,791x = 17,623,993,232,836
  5. Step 5: Solve for x
    x = 17,623,993,232,836/1,918,791
  6. Step 6: Final answer
    x = 9,184,946.79

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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.