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Finding the Third Proportional to 1,738,560 and 2,659,497

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Solution

The third proportional to 1,738,560 and 2,659,497 is: 4,068,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,560 : 2,659,497 = 2,659,497 : x
  2. Step 2: Convert to fraction form
    1,738,560/2,659,497 = 2,659,497/x
  3. Step 3: Cross multiply
    1,738,560x = 2,659,497 × 2,659,497
  4. Step 4: Simplify right side
    1,738,560x = 7,072,924,293,009
  5. Step 5: Solve for x
    x = 7,072,924,293,009/1,738,560
  6. Step 6: Final answer
    x = 4,068,265.86

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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.