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Finding the Third Proportional to 852,795 and 1,277,880

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Solution

The third proportional to 852,795 and 1,277,880 is: 1,914,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,795 : 1,277,880 = 1,277,880 : x
  2. Step 2: Convert to fraction form
    852,795/1,277,880 = 1,277,880/x
  3. Step 3: Cross multiply
    852,795x = 1,277,880 × 1,277,880
  4. Step 4: Simplify right side
    852,795x = 1,632,977,294,400
  5. Step 5: Solve for x
    x = 1,632,977,294,400/852,795
  6. Step 6: Final answer
    x = 1,914,853.27

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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.