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Finding the Third Proportional to 1,687,105.34 and 2,410,859.95

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Solution

The third proportional to 1,687,105.34 and 2,410,859.95 is: 3,445,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,105.34 : 2,410,859.95 = 2,410,859.95 : x
  2. Step 2: Convert to fraction form
    1,687,105.34/2,410,859.95 = 2,410,859.95/x
  3. Step 3: Cross multiply
    1,687,105.34x = 2,410,859.95 × 2,410,859.95
  4. Step 4: Simplify right side
    1,687,105.34x = 5,812,245,713,581.88
  5. Step 5: Solve for x
    x = 5,812,245,713,581.88/1,687,105.34
  6. Step 6: Final answer
    x = 3,445,099.48

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