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Finding the Third Proportional to 639,008 and 1,363,456

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Solution

The third proportional to 639,008 and 1,363,456 is: 2,909,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,008 : 1,363,456 = 1,363,456 : x
  2. Step 2: Convert to fraction form
    639,008/1,363,456 = 1,363,456/x
  3. Step 3: Cross multiply
    639,008x = 1,363,456 × 1,363,456
  4. Step 4: Simplify right side
    639,008x = 1,859,012,263,936
  5. Step 5: Solve for x
    x = 1,859,012,263,936/639,008
  6. Step 6: Final answer
    x = 2,909,215.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.