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Finding the Third Proportional to 2,023,676 and 4,128,639.25

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Solution

The third proportional to 2,023,676 and 4,128,639.25 is: 8,423,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,676 : 4,128,639.25 = 4,128,639.25 : x
  2. Step 2: Convert to fraction form
    2,023,676/4,128,639.25 = 4,128,639.25/x
  3. Step 3: Cross multiply
    2,023,676x = 4,128,639.25 × 4,128,639.25
  4. Step 4: Simplify right side
    2,023,676x = 17,045,662,056,640.56
  5. Step 5: Solve for x
    x = 17,045,662,056,640.56/2,023,676
  6. Step 6: Final answer
    x = 8,423,118.16

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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.