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Finding the Third Proportional to 1,634,589.50 and 2,551,224.50

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Solution

The third proportional to 1,634,589.50 and 2,551,224.50 is: 3,981,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,589.50 : 2,551,224.50 = 2,551,224.50 : x
  2. Step 2: Convert to fraction form
    1,634,589.50/2,551,224.50 = 2,551,224.50/x
  3. Step 3: Cross multiply
    1,634,589.50x = 2,551,224.50 × 2,551,224.50
  4. Step 4: Simplify right side
    1,634,589.50x = 6,508,746,449,400.25
  5. Step 5: Solve for x
    x = 6,508,746,449,400.25/1,634,589.50
  6. Step 6: Final answer
    x = 3,981,884.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.