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Finding the Third Proportional to 871,157 and 1,306,736

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Solution

The third proportional to 871,157 and 1,306,736 is: 1,960,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,157 : 1,306,736 = 1,306,736 : x
  2. Step 2: Convert to fraction form
    871,157/1,306,736 = 1,306,736/x
  3. Step 3: Cross multiply
    871,157x = 1,306,736 × 1,306,736
  4. Step 4: Simplify right side
    871,157x = 1,707,558,973,696
  5. Step 5: Solve for x
    x = 1,707,558,973,696/871,157
  6. Step 6: Final answer
    x = 1,960,104.75

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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.