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Finding the Third Proportional to 634,168 and 1,480,000

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Solution

The third proportional to 634,168 and 1,480,000 is: 3,453,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,168 : 1,480,000 = 1,480,000 : x
  2. Step 2: Convert to fraction form
    634,168/1,480,000 = 1,480,000/x
  3. Step 3: Cross multiply
    634,168x = 1,480,000 × 1,480,000
  4. Step 4: Simplify right side
    634,168x = 2,190,400,000,000
  5. Step 5: Solve for x
    x = 2,190,400,000,000/634,168
  6. Step 6: Final answer
    x = 3,453,974.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.