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Finding the Third Proportional to 767,286 and 1,203,698

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Solution

The third proportional to 767,286 and 1,203,698 is: 1,888,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,286 : 1,203,698 = 1,203,698 : x
  2. Step 2: Convert to fraction form
    767,286/1,203,698 = 1,203,698/x
  3. Step 3: Cross multiply
    767,286x = 1,203,698 × 1,203,698
  4. Step 4: Simplify right side
    767,286x = 1,448,888,875,204
  5. Step 5: Solve for x
    x = 1,448,888,875,204/767,286
  6. Step 6: Final answer
    x = 1,888,329.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.