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Finding the Third Proportional to 894,891 and 1,744,422

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Solution

The third proportional to 894,891 and 1,744,422 is: 3,400,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,891 : 1,744,422 = 1,744,422 : x
  2. Step 2: Convert to fraction form
    894,891/1,744,422 = 1,744,422/x
  3. Step 3: Cross multiply
    894,891x = 1,744,422 × 1,744,422
  4. Step 4: Simplify right side
    894,891x = 3,043,008,114,084
  5. Step 5: Solve for x
    x = 3,043,008,114,084/894,891
  6. Step 6: Final answer
    x = 3,400,423.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.