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Finding the Third Proportional to 639,946 and 1,382,524

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Solution

The third proportional to 639,946 and 1,382,524 is: 2,986,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,946 : 1,382,524 = 1,382,524 : x
  2. Step 2: Convert to fraction form
    639,946/1,382,524 = 1,382,524/x
  3. Step 3: Cross multiply
    639,946x = 1,382,524 × 1,382,524
  4. Step 4: Simplify right side
    639,946x = 1,911,372,610,576
  5. Step 5: Solve for x
    x = 1,911,372,610,576/639,946
  6. Step 6: Final answer
    x = 2,986,771.71

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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.