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Finding the Third Proportional to 778,110 and 1,167,165

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Solution

The third proportional to 778,110 and 1,167,165 is: 1,750,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,110 : 1,167,165 = 1,167,165 : x
  2. Step 2: Convert to fraction form
    778,110/1,167,165 = 1,167,165/x
  3. Step 3: Cross multiply
    778,110x = 1,167,165 × 1,167,165
  4. Step 4: Simplify right side
    778,110x = 1,362,274,137,225
  5. Step 5: Solve for x
    x = 1,362,274,137,225/778,110
  6. Step 6: Final answer
    x = 1,750,747.50

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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.