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Finding the Third Proportional to 1,738,564 and 2,659,503

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Solution

The third proportional to 1,738,564 and 2,659,503 is: 4,068,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,564 : 2,659,503 = 2,659,503 : x
  2. Step 2: Convert to fraction form
    1,738,564/2,659,503 = 2,659,503/x
  3. Step 3: Cross multiply
    1,738,564x = 2,659,503 × 2,659,503
  4. Step 4: Simplify right side
    1,738,564x = 7,072,956,207,009
  5. Step 5: Solve for x
    x = 7,072,956,207,009/1,738,564
  6. Step 6: Final answer
    x = 4,068,274.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.