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Finding the Third Proportional to 843,824 and 1,127,199

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Solution

The third proportional to 843,824 and 1,127,199 is: 1,505,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,824 : 1,127,199 = 1,127,199 : x
  2. Step 2: Convert to fraction form
    843,824/1,127,199 = 1,127,199/x
  3. Step 3: Cross multiply
    843,824x = 1,127,199 × 1,127,199
  4. Step 4: Simplify right side
    843,824x = 1,270,577,585,601
  5. Step 5: Solve for x
    x = 1,270,577,585,601/843,824
  6. Step 6: Final answer
    x = 1,505,737.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.