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Finding the Third Proportional to 1,638,511.03 and 3,342,085.31

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Solution

The third proportional to 1,638,511.03 and 3,342,085.31 is: 6,816,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,511.03 : 3,342,085.31 = 3,342,085.31 : x
  2. Step 2: Convert to fraction form
    1,638,511.03/3,342,085.31 = 3,342,085.31/x
  3. Step 3: Cross multiply
    1,638,511.03x = 3,342,085.31 × 3,342,085.31
  4. Step 4: Simplify right side
    1,638,511.03x = 11,169,534,236,028.22
  5. Step 5: Solve for x
    x = 11,169,534,236,028.22/1,638,511.03
  6. Step 6: Final answer
    x = 6,816,880.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.