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Finding the Third Proportional to 1,281,264 and 1,965,330

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Solution

The third proportional to 1,281,264 and 1,965,330 is: 3,014,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,264 : 1,965,330 = 1,965,330 : x
  2. Step 2: Convert to fraction form
    1,281,264/1,965,330 = 1,965,330/x
  3. Step 3: Cross multiply
    1,281,264x = 1,965,330 × 1,965,330
  4. Step 4: Simplify right side
    1,281,264x = 3,862,522,008,900
  5. Step 5: Solve for x
    x = 3,862,522,008,900/1,281,264
  6. Step 6: Final answer
    x = 3,014,618.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.