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Finding the Third Proportional to 871,163.86 and 1,868,438.39

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Solution

The third proportional to 871,163.86 and 1,868,438.39 is: 4,007,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,163.86 : 1,868,438.39 = 1,868,438.39 : x
  2. Step 2: Convert to fraction form
    871,163.86/1,868,438.39 = 1,868,438.39/x
  3. Step 3: Cross multiply
    871,163.86x = 1,868,438.39 × 1,868,438.39
  4. Step 4: Simplify right side
    871,163.86x = 3,491,062,019,561.34
  5. Step 5: Solve for x
    x = 3,491,062,019,561.34/871,163.86
  6. Step 6: Final answer
    x = 4,007,354.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.