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Finding the Third Proportional to 840,241 and 1,260,975

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Solution

The third proportional to 840,241 and 1,260,975 is: 1,892,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,241 : 1,260,975 = 1,260,975 : x
  2. Step 2: Convert to fraction form
    840,241/1,260,975 = 1,260,975/x
  3. Step 3: Cross multiply
    840,241x = 1,260,975 × 1,260,975
  4. Step 4: Simplify right side
    840,241x = 1,590,057,950,625
  5. Step 5: Solve for x
    x = 1,590,057,950,625/840,241
  6. Step 6: Final answer
    x = 1,892,383.20

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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.