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Finding the Third Proportional to 1,557,016 and 3,346,824

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Solution

The third proportional to 1,557,016 and 3,346,824 is: 7,194,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557,016 : 3,346,824 = 3,346,824 : x
  2. Step 2: Convert to fraction form
    1,557,016/3,346,824 = 3,346,824/x
  3. Step 3: Cross multiply
    1,557,016x = 3,346,824 × 3,346,824
  4. Step 4: Simplify right side
    1,557,016x = 11,201,230,886,976
  5. Step 5: Solve for x
    x = 11,201,230,886,976/1,557,016
  6. Step 6: Final answer
    x = 7,194,037.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.