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Finding the Third Proportional to 859,144.50 and 1,696,600.50

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Solution

The third proportional to 859,144.50 and 1,696,600.50 is: 3,350,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,144.50 : 1,696,600.50 = 1,696,600.50 : x
  2. Step 2: Convert to fraction form
    859,144.50/1,696,600.50 = 1,696,600.50/x
  3. Step 3: Cross multiply
    859,144.50x = 1,696,600.50 × 1,696,600.50
  4. Step 4: Simplify right side
    859,144.50x = 2,878,453,256,600.25
  5. Step 5: Solve for x
    x = 2,878,453,256,600.25/859,144.50
  6. Step 6: Final answer
    x = 3,350,371.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.