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Finding the Third Proportional to 936,298 and 1,414,286

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Solution

The third proportional to 936,298 and 1,414,286 is: 2,136,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,298 : 1,414,286 = 1,414,286 : x
  2. Step 2: Convert to fraction form
    936,298/1,414,286 = 1,414,286/x
  3. Step 3: Cross multiply
    936,298x = 1,414,286 × 1,414,286
  4. Step 4: Simplify right side
    936,298x = 2,000,204,889,796
  5. Step 5: Solve for x
    x = 2,000,204,889,796/936,298
  6. Step 6: Final answer
    x = 2,136,290.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.