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Finding the Third Proportional to 735,019 and 1,582,648

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Solution

The third proportional to 735,019 and 1,582,648 is: 3,407,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,019 : 1,582,648 = 1,582,648 : x
  2. Step 2: Convert to fraction form
    735,019/1,582,648 = 1,582,648/x
  3. Step 3: Cross multiply
    735,019x = 1,582,648 × 1,582,648
  4. Step 4: Simplify right side
    735,019x = 2,504,774,691,904
  5. Step 5: Solve for x
    x = 2,504,774,691,904/735,019
  6. Step 6: Final answer
    x = 3,407,768.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.