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Finding the Third Proportional to 950,962 and 1,410,724

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Solution

The third proportional to 950,962 and 1,410,724 is: 2,092,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,962 : 1,410,724 = 1,410,724 : x
  2. Step 2: Convert to fraction form
    950,962/1,410,724 = 1,410,724/x
  3. Step 3: Cross multiply
    950,962x = 1,410,724 × 1,410,724
  4. Step 4: Simplify right side
    950,962x = 1,990,142,204,176
  5. Step 5: Solve for x
    x = 1,990,142,204,176/950,962
  6. Step 6: Final answer
    x = 2,092,767.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.