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Finding the Third Proportional to 883,969 and 1,382,815

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Solution

The third proportional to 883,969 and 1,382,815 is: 2,163,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,969 : 1,382,815 = 1,382,815 : x
  2. Step 2: Convert to fraction form
    883,969/1,382,815 = 1,382,815/x
  3. Step 3: Cross multiply
    883,969x = 1,382,815 × 1,382,815
  4. Step 4: Simplify right side
    883,969x = 1,912,177,324,225
  5. Step 5: Solve for x
    x = 1,912,177,324,225/883,969
  6. Step 6: Final answer
    x = 2,163,172.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.