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Finding the Third Proportional to 746,896 and 1,120,896

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Solution

The third proportional to 746,896 and 1,120,896 is: 1,682,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,896 : 1,120,896 = 1,120,896 : x
  2. Step 2: Convert to fraction form
    746,896/1,120,896 = 1,120,896/x
  3. Step 3: Cross multiply
    746,896x = 1,120,896 × 1,120,896
  4. Step 4: Simplify right side
    746,896x = 1,256,407,842,816
  5. Step 5: Solve for x
    x = 1,256,407,842,816/746,896
  6. Step 6: Final answer
    x = 1,682,172.41

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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.