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Finding the Third Proportional to 492,102 and 1,065,825

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Solution

The third proportional to 492,102 and 1,065,825 is: 2,308,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,102 : 1,065,825 = 1,065,825 : x
  2. Step 2: Convert to fraction form
    492,102/1,065,825 = 1,065,825/x
  3. Step 3: Cross multiply
    492,102x = 1,065,825 × 1,065,825
  4. Step 4: Simplify right side
    492,102x = 1,135,982,930,625
  5. Step 5: Solve for x
    x = 1,135,982,930,625/492,102
  6. Step 6: Final answer
    x = 2,308,429.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.