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Finding the Third Proportional to 1,270,272 and 1,965,120

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Solution

The third proportional to 1,270,272 and 1,965,120 is: 3,040,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,272 : 1,965,120 = 1,965,120 : x
  2. Step 2: Convert to fraction form
    1,270,272/1,965,120 = 1,965,120/x
  3. Step 3: Cross multiply
    1,270,272x = 1,965,120 × 1,965,120
  4. Step 4: Simplify right side
    1,270,272x = 3,861,696,614,400
  5. Step 5: Solve for x
    x = 3,861,696,614,400/1,270,272
  6. Step 6: Final answer
    x = 3,040,054.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.