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Finding the Third Proportional to 485,109 and 1,036,716.75

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Solution

The third proportional to 485,109 and 1,036,716.75 is: 2,215,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,109 : 1,036,716.75 = 1,036,716.75 : x
  2. Step 2: Convert to fraction form
    485,109/1,036,716.75 = 1,036,716.75/x
  3. Step 3: Cross multiply
    485,109x = 1,036,716.75 × 1,036,716.75
  4. Step 4: Simplify right side
    485,109x = 1,074,781,619,730.56
  5. Step 5: Solve for x
    x = 1,074,781,619,730.56/485,109
  6. Step 6: Final answer
    x = 2,215,546.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.