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Finding the Third Proportional to 770,944 and 1,149,760

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Solution

The third proportional to 770,944 and 1,149,760 is: 1,714,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,944 : 1,149,760 = 1,149,760 : x
  2. Step 2: Convert to fraction form
    770,944/1,149,760 = 1,149,760/x
  3. Step 3: Cross multiply
    770,944x = 1,149,760 × 1,149,760
  4. Step 4: Simplify right side
    770,944x = 1,321,948,057,600
  5. Step 5: Solve for x
    x = 1,321,948,057,600/770,944
  6. Step 6: Final answer
    x = 1,714,713.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.