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Finding the Third Proportional to 2,640,198.50 and 4,196,514

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Solution

The third proportional to 2,640,198.50 and 4,196,514 is: 6,670,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198.50 : 4,196,514 = 4,196,514 : x
  2. Step 2: Convert to fraction form
    2,640,198.50/4,196,514 = 4,196,514/x
  3. Step 3: Cross multiply
    2,640,198.50x = 4,196,514 × 4,196,514
  4. Step 4: Simplify right side
    2,640,198.50x = 17,610,729,752,196
  5. Step 5: Solve for x
    x = 17,610,729,752,196/2,640,198.50
  6. Step 6: Final answer
    x = 6,670,229.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.