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Finding the Third Proportional to 949,920 and 1,476,162

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Solution

The third proportional to 949,920 and 1,476,162 is: 2,293,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,920 : 1,476,162 = 1,476,162 : x
  2. Step 2: Convert to fraction form
    949,920/1,476,162 = 1,476,162/x
  3. Step 3: Cross multiply
    949,920x = 1,476,162 × 1,476,162
  4. Step 4: Simplify right side
    949,920x = 2,179,054,250,244
  5. Step 5: Solve for x
    x = 2,179,054,250,244/949,920
  6. Step 6: Final answer
    x = 2,293,934.49

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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.