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Finding the Third Proportional to 919,102 and 2,019,623

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Solution

The third proportional to 919,102 and 2,019,623 is: 4,437,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,102 : 2,019,623 = 2,019,623 : x
  2. Step 2: Convert to fraction form
    919,102/2,019,623 = 2,019,623/x
  3. Step 3: Cross multiply
    919,102x = 2,019,623 × 2,019,623
  4. Step 4: Simplify right side
    919,102x = 4,078,877,062,129
  5. Step 5: Solve for x
    x = 4,078,877,062,129/919,102
  6. Step 6: Final answer
    x = 4,437,893.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.