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Finding the Third Proportional to 778,144 and 1,167,216

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Solution

The third proportional to 778,144 and 1,167,216 is: 1,750,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,144 : 1,167,216 = 1,167,216 : x
  2. Step 2: Convert to fraction form
    778,144/1,167,216 = 1,167,216/x
  3. Step 3: Cross multiply
    778,144x = 1,167,216 × 1,167,216
  4. Step 4: Simplify right side
    778,144x = 1,362,393,190,656
  5. Step 5: Solve for x
    x = 1,362,393,190,656/778,144
  6. Step 6: Final answer
    x = 1,750,824

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.