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Finding the Third Proportional to 767,344 and 1,565,152

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Solution

The third proportional to 767,344 and 1,565,152 is: 3,192,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,344 : 1,565,152 = 1,565,152 : x
  2. Step 2: Convert to fraction form
    767,344/1,565,152 = 1,565,152/x
  3. Step 3: Cross multiply
    767,344x = 1,565,152 × 1,565,152
  4. Step 4: Simplify right side
    767,344x = 2,449,700,783,104
  5. Step 5: Solve for x
    x = 2,449,700,783,104/767,344
  6. Step 6: Final answer
    x = 3,192,441.44

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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.