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Finding the Third Proportional to 744,178.50 and 1,634,157

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Solution

The third proportional to 744,178.50 and 1,634,157 is: 3,588,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,178.50 : 1,634,157 = 1,634,157 : x
  2. Step 2: Convert to fraction form
    744,178.50/1,634,157 = 1,634,157/x
  3. Step 3: Cross multiply
    744,178.50x = 1,634,157 × 1,634,157
  4. Step 4: Simplify right side
    744,178.50x = 2,670,469,100,649
  5. Step 5: Solve for x
    x = 2,670,469,100,649/744,178.50
  6. Step 6: Final answer
    x = 3,588,479.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.