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Finding the Third Proportional to 1,694,402.72 and 3,664,126.97

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Solution

The third proportional to 1,694,402.72 and 3,664,126.97 is: 7,923,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694,402.72 : 3,664,126.97 = 3,664,126.97 : x
  2. Step 2: Convert to fraction form
    1,694,402.72/3,664,126.97 = 3,664,126.97/x
  3. Step 3: Cross multiply
    1,694,402.72x = 3,664,126.97 × 3,664,126.97
  4. Step 4: Simplify right side
    1,694,402.72x = 13,425,826,443,121.06
  5. Step 5: Solve for x
    x = 13,425,826,443,121.06/1,694,402.72
  6. Step 6: Final answer
    x = 7,923,633.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.