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Finding the Third Proportional to 902,502 and 1,197,990

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Solution

The third proportional to 902,502 and 1,197,990 is: 1,590,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,502 : 1,197,990 = 1,197,990 : x
  2. Step 2: Convert to fraction form
    902,502/1,197,990 = 1,197,990/x
  3. Step 3: Cross multiply
    902,502x = 1,197,990 × 1,197,990
  4. Step 4: Simplify right side
    902,502x = 1,435,180,040,100
  5. Step 5: Solve for x
    x = 1,435,180,040,100/902,502
  6. Step 6: Final answer
    x = 1,590,223.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.