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Finding the Third Proportional to 783,676 and 1,600,563

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Solution

The third proportional to 783,676 and 1,600,563 is: 3,268,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,676 : 1,600,563 = 1,600,563 : x
  2. Step 2: Convert to fraction form
    783,676/1,600,563 = 1,600,563/x
  3. Step 3: Cross multiply
    783,676x = 1,600,563 × 1,600,563
  4. Step 4: Simplify right side
    783,676x = 2,561,801,916,969
  5. Step 5: Solve for x
    x = 2,561,801,916,969/783,676
  6. Step 6: Final answer
    x = 3,268,955.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.