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Finding the Third Proportional to 641,008 and 1,367,812

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Solution

The third proportional to 641,008 and 1,367,812 is: 2,918,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,008 : 1,367,812 = 1,367,812 : x
  2. Step 2: Convert to fraction form
    641,008/1,367,812 = 1,367,812/x
  3. Step 3: Cross multiply
    641,008x = 1,367,812 × 1,367,812
  4. Step 4: Simplify right side
    641,008x = 1,870,909,667,344
  5. Step 5: Solve for x
    x = 1,870,909,667,344/641,008
  6. Step 6: Final answer
    x = 2,918,699.40

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Why These Related Problems?

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