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Finding the Third Proportional to 866,178 and 1,787,277

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Solution

The third proportional to 866,178 and 1,787,277 is: 3,687,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,178 : 1,787,277 = 1,787,277 : x
  2. Step 2: Convert to fraction form
    866,178/1,787,277 = 1,787,277/x
  3. Step 3: Cross multiply
    866,178x = 1,787,277 × 1,787,277
  4. Step 4: Simplify right side
    866,178x = 3,194,359,074,729
  5. Step 5: Solve for x
    x = 3,194,359,074,729/866,178
  6. Step 6: Final answer
    x = 3,687,878.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.