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Finding the Third Proportional to 866,633 and 1,932,420

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Solution

The third proportional to 866,633 and 1,932,420 is: 4,308,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,633 : 1,932,420 = 1,932,420 : x
  2. Step 2: Convert to fraction form
    866,633/1,932,420 = 1,932,420/x
  3. Step 3: Cross multiply
    866,633x = 1,932,420 × 1,932,420
  4. Step 4: Simplify right side
    866,633x = 3,734,247,056,400
  5. Step 5: Solve for x
    x = 3,734,247,056,400/866,633
  6. Step 6: Final answer
    x = 4,308,913.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.