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Finding the Third Proportional to 606,007 and 1,274,829

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Solution

The third proportional to 606,007 and 1,274,829 is: 2,681,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,007 : 1,274,829 = 1,274,829 : x
  2. Step 2: Convert to fraction form
    606,007/1,274,829 = 1,274,829/x
  3. Step 3: Cross multiply
    606,007x = 1,274,829 × 1,274,829
  4. Step 4: Simplify right side
    606,007x = 1,625,188,979,241
  5. Step 5: Solve for x
    x = 1,625,188,979,241/606,007
  6. Step 6: Final answer
    x = 2,681,799.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.