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Finding the Third Proportional to 871,112 and 1,311,736

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Solution

The third proportional to 871,112 and 1,311,736 is: 1,975,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,112 : 1,311,736 = 1,311,736 : x
  2. Step 2: Convert to fraction form
    871,112/1,311,736 = 1,311,736/x
  3. Step 3: Cross multiply
    871,112x = 1,311,736 × 1,311,736
  4. Step 4: Simplify right side
    871,112x = 1,720,651,333,696
  5. Step 5: Solve for x
    x = 1,720,651,333,696/871,112
  6. Step 6: Final answer
    x = 1,975,235.48

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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.