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Finding the Third Proportional to 772,366.50 and 1,682,039.25

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Solution

The third proportional to 772,366.50 and 1,682,039.25 is: 3,663,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,366.50 : 1,682,039.25 = 1,682,039.25 : x
  2. Step 2: Convert to fraction form
    772,366.50/1,682,039.25 = 1,682,039.25/x
  3. Step 3: Cross multiply
    772,366.50x = 1,682,039.25 × 1,682,039.25
  4. Step 4: Simplify right side
    772,366.50x = 2,829,256,038,540.56
  5. Step 5: Solve for x
    x = 2,829,256,038,540.56/772,366.50
  6. Step 6: Final answer
    x = 3,663,100.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.