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Finding the Third Proportional to 2,023,676.50 and 4,128,640.50

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Solution

The third proportional to 2,023,676.50 and 4,128,640.50 is: 8,423,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,676.50 : 4,128,640.50 = 4,128,640.50 : x
  2. Step 2: Convert to fraction form
    2,023,676.50/4,128,640.50 = 4,128,640.50/x
  3. Step 3: Cross multiply
    2,023,676.50x = 4,128,640.50 × 4,128,640.50
  4. Step 4: Simplify right side
    2,023,676.50x = 17,045,672,378,240.25
  5. Step 5: Solve for x
    x = 17,045,672,378,240.25/2,023,676.50
  6. Step 6: Final answer
    x = 8,423,121.17

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