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Finding the Third Proportional to 770,976 and 1,186,524

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Solution

The third proportional to 770,976 and 1,186,524 is: 1,826,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,976 : 1,186,524 = 1,186,524 : x
  2. Step 2: Convert to fraction form
    770,976/1,186,524 = 1,186,524/x
  3. Step 3: Cross multiply
    770,976x = 1,186,524 × 1,186,524
  4. Step 4: Simplify right side
    770,976x = 1,407,839,202,576
  5. Step 5: Solve for x
    x = 1,407,839,202,576/770,976
  6. Step 6: Final answer
    x = 1,826,048.03

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Why These Related Problems?

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