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Finding the Third Proportional to 943,996 and 2,045,400

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Solution

The third proportional to 943,996 and 2,045,400 is: 4,431,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,996 : 2,045,400 = 2,045,400 : x
  2. Step 2: Convert to fraction form
    943,996/2,045,400 = 2,045,400/x
  3. Step 3: Cross multiply
    943,996x = 2,045,400 × 2,045,400
  4. Step 4: Simplify right side
    943,996x = 4,183,661,160,000
  5. Step 5: Solve for x
    x = 4,183,661,160,000/943,996
  6. Step 6: Final answer
    x = 4,431,863.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.