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Finding the Third Proportional to 840,969 and 1,261,194

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Solution

The third proportional to 840,969 and 1,261,194 is: 1,891,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,969 : 1,261,194 = 1,261,194 : x
  2. Step 2: Convert to fraction form
    840,969/1,261,194 = 1,261,194/x
  3. Step 3: Cross multiply
    840,969x = 1,261,194 × 1,261,194
  4. Step 4: Simplify right side
    840,969x = 1,590,610,305,636
  5. Step 5: Solve for x
    x = 1,590,610,305,636/840,969
  6. Step 6: Final answer
    x = 1,891,401.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.