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Finding the Third Proportional to 1,102,488 and 2,275,824

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Solution

The third proportional to 1,102,488 and 2,275,824 is: 4,697,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,488 : 2,275,824 = 2,275,824 : x
  2. Step 2: Convert to fraction form
    1,102,488/2,275,824 = 2,275,824/x
  3. Step 3: Cross multiply
    1,102,488x = 2,275,824 × 2,275,824
  4. Step 4: Simplify right side
    1,102,488x = 5,179,374,878,976
  5. Step 5: Solve for x
    x = 5,179,374,878,976/1,102,488
  6. Step 6: Final answer
    x = 4,697,896.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.