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Finding the Third Proportional to 800,097 and 1,749,568.50

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Solution

The third proportional to 800,097 and 1,749,568.50 is: 3,825,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,097 : 1,749,568.50 = 1,749,568.50 : x
  2. Step 2: Convert to fraction form
    800,097/1,749,568.50 = 1,749,568.50/x
  3. Step 3: Cross multiply
    800,097x = 1,749,568.50 × 1,749,568.50
  4. Step 4: Simplify right side
    800,097x = 3,060,989,936,192.25
  5. Step 5: Solve for x
    x = 3,060,989,936,192.25/800,097
  6. Step 6: Final answer
    x = 3,825,773.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.