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Finding the Third Proportional to 777,060 and 1,200,096

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Solution

The third proportional to 777,060 and 1,200,096 is: 1,853,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,060 : 1,200,096 = 1,200,096 : x
  2. Step 2: Convert to fraction form
    777,060/1,200,096 = 1,200,096/x
  3. Step 3: Cross multiply
    777,060x = 1,200,096 × 1,200,096
  4. Step 4: Simplify right side
    777,060x = 1,440,230,409,216
  5. Step 5: Solve for x
    x = 1,440,230,409,216/777,060
  6. Step 6: Final answer
    x = 1,853,435.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.