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Finding the Third Proportional to 1,382,286 and 2,163,720

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Solution

The third proportional to 1,382,286 and 2,163,720 is: 3,386,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,286 : 2,163,720 = 2,163,720 : x
  2. Step 2: Convert to fraction form
    1,382,286/2,163,720 = 2,163,720/x
  3. Step 3: Cross multiply
    1,382,286x = 2,163,720 × 2,163,720
  4. Step 4: Simplify right side
    1,382,286x = 4,681,684,238,400
  5. Step 5: Solve for x
    x = 4,681,684,238,400/1,382,286
  6. Step 6: Final answer
    x = 3,386,914.31

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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.