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Finding the Third Proportional to 665,736 and 1,456,023

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Solution

The third proportional to 665,736 and 1,456,023 is: 3,184,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,736 : 1,456,023 = 1,456,023 : x
  2. Step 2: Convert to fraction form
    665,736/1,456,023 = 1,456,023/x
  3. Step 3: Cross multiply
    665,736x = 1,456,023 × 1,456,023
  4. Step 4: Simplify right side
    665,736x = 2,120,002,976,529
  5. Step 5: Solve for x
    x = 2,120,002,976,529/665,736
  6. Step 6: Final answer
    x = 3,184,449.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.