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Finding the Third Proportional to 758,205.56 and 1,649,271.38

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Solution

The third proportional to 758,205.56 and 1,649,271.38 is: 3,587,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,205.56 : 1,649,271.38 = 1,649,271.38 : x
  2. Step 2: Convert to fraction form
    758,205.56/1,649,271.38 = 1,649,271.38/x
  3. Step 3: Cross multiply
    758,205.56x = 1,649,271.38 × 1,649,271.38
  4. Step 4: Simplify right side
    758,205.56x = 2,720,096,068,394.39
  5. Step 5: Solve for x
    x = 2,720,096,068,394.39/758,205.56
  6. Step 6: Final answer
    x = 3,587,544.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.