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Finding the Third Proportional to 813,968 and 1,245,240

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Solution

The third proportional to 813,968 and 1,245,240 is: 1,905,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,968 : 1,245,240 = 1,245,240 : x
  2. Step 2: Convert to fraction form
    813,968/1,245,240 = 1,245,240/x
  3. Step 3: Cross multiply
    813,968x = 1,245,240 × 1,245,240
  4. Step 4: Simplify right side
    813,968x = 1,550,622,657,600
  5. Step 5: Solve for x
    x = 1,550,622,657,600/813,968
  6. Step 6: Final answer
    x = 1,905,016.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.