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Finding the Third Proportional to 809,019.50 and 1,256,157

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Solution

The third proportional to 809,019.50 and 1,256,157 is: 1,950,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,019.50 : 1,256,157 = 1,256,157 : x
  2. Step 2: Convert to fraction form
    809,019.50/1,256,157 = 1,256,157/x
  3. Step 3: Cross multiply
    809,019.50x = 1,256,157 × 1,256,157
  4. Step 4: Simplify right side
    809,019.50x = 1,577,930,408,649
  5. Step 5: Solve for x
    x = 1,577,930,408,649/809,019.50
  6. Step 6: Final answer
    x = 1,950,423.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.