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Finding the Third Proportional to 639,264 and 1,366,008

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Solution

The third proportional to 639,264 and 1,366,008 is: 2,918,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,264 : 1,366,008 = 1,366,008 : x
  2. Step 2: Convert to fraction form
    639,264/1,366,008 = 1,366,008/x
  3. Step 3: Cross multiply
    639,264x = 1,366,008 × 1,366,008
  4. Step 4: Simplify right side
    639,264x = 1,865,977,856,064
  5. Step 5: Solve for x
    x = 1,865,977,856,064/639,264
  6. Step 6: Final answer
    x = 2,918,947.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.