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Finding the Third Proportional to 1,456,256 and 2,279,460

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Solution

The third proportional to 1,456,256 and 2,279,460 is: 3,568,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,256 : 2,279,460 = 2,279,460 : x
  2. Step 2: Convert to fraction form
    1,456,256/2,279,460 = 2,279,460/x
  3. Step 3: Cross multiply
    1,456,256x = 2,279,460 × 2,279,460
  4. Step 4: Simplify right side
    1,456,256x = 5,195,937,891,600
  5. Step 5: Solve for x
    x = 5,195,937,891,600/1,456,256
  6. Step 6: Final answer
    x = 3,568,011.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.