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Finding the Third Proportional to 756,780 and 1,171,824

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Solution

The third proportional to 756,780 and 1,171,824 is: 1,814,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,780 : 1,171,824 = 1,171,824 : x
  2. Step 2: Convert to fraction form
    756,780/1,171,824 = 1,171,824/x
  3. Step 3: Cross multiply
    756,780x = 1,171,824 × 1,171,824
  4. Step 4: Simplify right side
    756,780x = 1,373,171,486,976
  5. Step 5: Solve for x
    x = 1,373,171,486,976/756,780
  6. Step 6: Final answer
    x = 1,814,492.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.