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Finding the Third Proportional to 2,068,086 and 3,104,317.50

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Solution

The third proportional to 2,068,086 and 3,104,317.50 is: 4,659,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,086 : 3,104,317.50 = 3,104,317.50 : x
  2. Step 2: Convert to fraction form
    2,068,086/3,104,317.50 = 3,104,317.50/x
  3. Step 3: Cross multiply
    2,068,086x = 3,104,317.50 × 3,104,317.50
  4. Step 4: Simplify right side
    2,068,086x = 9,636,787,140,806.25
  5. Step 5: Solve for x
    x = 9,636,787,140,806.25/2,068,086
  6. Step 6: Final answer
    x = 4,659,761.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.