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Finding the Third Proportional to 639,834 and 1,382,274

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Solution

The third proportional to 639,834 and 1,382,274 is: 2,986,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,834 : 1,382,274 = 1,382,274 : x
  2. Step 2: Convert to fraction form
    639,834/1,382,274 = 1,382,274/x
  3. Step 3: Cross multiply
    639,834x = 1,382,274 × 1,382,274
  4. Step 4: Simplify right side
    639,834x = 1,910,681,411,076
  5. Step 5: Solve for x
    x = 1,910,681,411,076/639,834
  6. Step 6: Final answer
    x = 2,986,214.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.