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Finding the Third Proportional to 1,206,816 and 2,512,863

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Solution

The third proportional to 1,206,816 and 2,512,863 is: 5,232,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,816 : 2,512,863 = 2,512,863 : x
  2. Step 2: Convert to fraction form
    1,206,816/2,512,863 = 2,512,863/x
  3. Step 3: Cross multiply
    1,206,816x = 2,512,863 × 2,512,863
  4. Step 4: Simplify right side
    1,206,816x = 6,314,480,456,769
  5. Step 5: Solve for x
    x = 6,314,480,456,769/1,206,816
  6. Step 6: Final answer
    x = 5,232,347.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.