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Finding the Third Proportional to 810,672.75 and 1,759,800.38

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Solution

The third proportional to 810,672.75 and 1,759,800.38 is: 3,820,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,672.75 : 1,759,800.38 = 1,759,800.38 : x
  2. Step 2: Convert to fraction form
    810,672.75/1,759,800.38 = 1,759,800.38/x
  3. Step 3: Cross multiply
    810,672.75x = 1,759,800.38 × 1,759,800.38
  4. Step 4: Simplify right side
    810,672.75x = 3,096,897,359,850.14
  5. Step 5: Solve for x
    x = 3,096,897,359,850.14/810,672.75
  6. Step 6: Final answer
    x = 3,820,157.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.