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Finding the Third Proportional to 961,405 and 1,508,105

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Solution

The third proportional to 961,405 and 1,508,105 is: 2,365,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,405 : 1,508,105 = 1,508,105 : x
  2. Step 2: Convert to fraction form
    961,405/1,508,105 = 1,508,105/x
  3. Step 3: Cross multiply
    961,405x = 1,508,105 × 1,508,105
  4. Step 4: Simplify right side
    961,405x = 2,274,380,691,025
  5. Step 5: Solve for x
    x = 2,274,380,691,025/961,405
  6. Step 6: Final answer
    x = 2,365,684.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.