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Finding the Third Proportional to 1,680,717 and 2,416,098

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Solution

The third proportional to 1,680,717 and 2,416,098 is: 3,473,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,717 : 2,416,098 = 2,416,098 : x
  2. Step 2: Convert to fraction form
    1,680,717/2,416,098 = 2,416,098/x
  3. Step 3: Cross multiply
    1,680,717x = 2,416,098 × 2,416,098
  4. Step 4: Simplify right side
    1,680,717x = 5,837,529,545,604
  5. Step 5: Solve for x
    x = 5,837,529,545,604/1,680,717
  6. Step 6: Final answer
    x = 3,473,237.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.