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Finding the Third Proportional to 1,644,829.03 and 2,453,608.97

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Solution

The third proportional to 1,644,829.03 and 2,453,608.97 is: 3,660,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,829.03 : 2,453,608.97 = 2,453,608.97 : x
  2. Step 2: Convert to fraction form
    1,644,829.03/2,453,608.97 = 2,453,608.97/x
  3. Step 3: Cross multiply
    1,644,829.03x = 2,453,608.97 × 2,453,608.97
  4. Step 4: Simplify right side
    1,644,829.03x = 6,020,196,971,530.44
  5. Step 5: Solve for x
    x = 6,020,196,971,530.44/1,644,829.03
  6. Step 6: Final answer
    x = 3,660,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.