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Finding the Third Proportional to 936,299 and 1,414,287

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Solution

The third proportional to 936,299 and 1,414,287 is: 2,136,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,299 : 1,414,287 = 1,414,287 : x
  2. Step 2: Convert to fraction form
    936,299/1,414,287 = 1,414,287/x
  3. Step 3: Cross multiply
    936,299x = 1,414,287 × 1,414,287
  4. Step 4: Simplify right side
    936,299x = 2,000,207,718,369
  5. Step 5: Solve for x
    x = 2,000,207,718,369/936,299
  6. Step 6: Final answer
    x = 2,136,291.63

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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.