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Finding the Third Proportional to 934,992 and 2,019,509

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Solution

The third proportional to 934,992 and 2,019,509 is: 4,361,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,992 : 2,019,509 = 2,019,509 : x
  2. Step 2: Convert to fraction form
    934,992/2,019,509 = 2,019,509/x
  3. Step 3: Cross multiply
    934,992x = 2,019,509 × 2,019,509
  4. Step 4: Simplify right side
    934,992x = 4,078,416,601,081
  5. Step 5: Solve for x
    x = 4,078,416,601,081/934,992
  6. Step 6: Final answer
    x = 4,361,980.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.