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Finding the Third Proportional to 871,167 and 1,868,445

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Solution

The third proportional to 871,167 and 1,868,445 is: 4,007,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,167 : 1,868,445 = 1,868,445 : x
  2. Step 2: Convert to fraction form
    871,167/1,868,445 = 1,868,445/x
  3. Step 3: Cross multiply
    871,167x = 1,868,445 × 1,868,445
  4. Step 4: Simplify right side
    871,167x = 3,491,086,718,025
  5. Step 5: Solve for x
    x = 3,491,086,718,025/871,167
  6. Step 6: Final answer
    x = 4,007,367.95

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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.