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Finding the Third Proportional to 639,914 and 1,400,356

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Solution

The third proportional to 639,914 and 1,400,356 is: 3,064,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,914 : 1,400,356 = 1,400,356 : x
  2. Step 2: Convert to fraction form
    639,914/1,400,356 = 1,400,356/x
  3. Step 3: Cross multiply
    639,914x = 1,400,356 × 1,400,356
  4. Step 4: Simplify right side
    639,914x = 1,960,996,926,736
  5. Step 5: Solve for x
    x = 1,960,996,926,736/639,914
  6. Step 6: Final answer
    x = 3,064,469.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.