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Finding the Third Proportional to 767,328 and 1,565,120

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Solution

The third proportional to 767,328 and 1,565,120 is: 3,192,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,328 : 1,565,120 = 1,565,120 : x
  2. Step 2: Convert to fraction form
    767,328/1,565,120 = 1,565,120/x
  3. Step 3: Cross multiply
    767,328x = 1,565,120 × 1,565,120
  4. Step 4: Simplify right side
    767,328x = 2,449,600,614,400
  5. Step 5: Solve for x
    x = 2,449,600,614,400/767,328
  6. Step 6: Final answer
    x = 3,192,377.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.