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Finding the Third Proportional to 802,744 and 1,100,780

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Solution

The third proportional to 802,744 and 1,100,780 is: 1,509,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,744 : 1,100,780 = 1,100,780 : x
  2. Step 2: Convert to fraction form
    802,744/1,100,780 = 1,100,780/x
  3. Step 3: Cross multiply
    802,744x = 1,100,780 × 1,100,780
  4. Step 4: Simplify right side
    802,744x = 1,211,716,608,400
  5. Step 5: Solve for x
    x = 1,211,716,608,400/802,744
  6. Step 6: Final answer
    x = 1,509,468.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.