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Finding the Third Proportional to 638,168 and 1,382,000

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Solution

The third proportional to 638,168 and 1,382,000 is: 2,992,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,168 : 1,382,000 = 1,382,000 : x
  2. Step 2: Convert to fraction form
    638,168/1,382,000 = 1,382,000/x
  3. Step 3: Cross multiply
    638,168x = 1,382,000 × 1,382,000
  4. Step 4: Simplify right side
    638,168x = 1,909,924,000,000
  5. Step 5: Solve for x
    x = 1,909,924,000,000/638,168
  6. Step 6: Final answer
    x = 2,992,823.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.