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Finding the Third Proportional to 770,364 and 1,157,874

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Solution

The third proportional to 770,364 and 1,157,874 is: 1,740,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,364 : 1,157,874 = 1,157,874 : x
  2. Step 2: Convert to fraction form
    770,364/1,157,874 = 1,157,874/x
  3. Step 3: Cross multiply
    770,364x = 1,157,874 × 1,157,874
  4. Step 4: Simplify right side
    770,364x = 1,340,672,199,876
  5. Step 5: Solve for x
    x = 1,340,672,199,876/770,364
  6. Step 6: Final answer
    x = 1,740,310.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.