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Finding the Third Proportional to 1,687,107 and 2,410,863

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Solution

The third proportional to 1,687,107 and 2,410,863 is: 3,445,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,107 : 2,410,863 = 2,410,863 : x
  2. Step 2: Convert to fraction form
    1,687,107/2,410,863 = 2,410,863/x
  3. Step 3: Cross multiply
    1,687,107x = 2,410,863 × 2,410,863
  4. Step 4: Simplify right side
    1,687,107x = 5,812,260,404,769
  5. Step 5: Solve for x
    x = 5,812,260,404,769/1,687,107
  6. Step 6: Final answer
    x = 3,445,104.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.