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Finding the Third Proportional to 634,800 and 1,322,208

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Solution

The third proportional to 634,800 and 1,322,208 is: 2,753,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,800 : 1,322,208 = 1,322,208 : x
  2. Step 2: Convert to fraction form
    634,800/1,322,208 = 1,322,208/x
  3. Step 3: Cross multiply
    634,800x = 1,322,208 × 1,322,208
  4. Step 4: Simplify right side
    634,800x = 1,748,233,995,264
  5. Step 5: Solve for x
    x = 1,748,233,995,264/634,800
  6. Step 6: Final answer
    x = 2,753,991.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.