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Finding the Third Proportional to 1,168,255.25 and 1,767,971.65

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Solution

The third proportional to 1,168,255.25 and 1,767,971.65 is: 2,675,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,255.25 : 1,767,971.65 = 1,767,971.65 : x
  2. Step 2: Convert to fraction form
    1,168,255.25/1,767,971.65 = 1,767,971.65/x
  3. Step 3: Cross multiply
    1,168,255.25x = 1,767,971.65 × 1,767,971.65
  4. Step 4: Simplify right side
    1,168,255.25x = 3,125,723,770,396.96
  5. Step 5: Solve for x
    x = 3,125,723,770,396.96/1,168,255.25
  6. Step 6: Final answer
    x = 2,675,548.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.