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Finding the Third Proportional to 940,014 and 1,369,812

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Solution

The third proportional to 940,014 and 1,369,812 is: 1,996,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,014 : 1,369,812 = 1,369,812 : x
  2. Step 2: Convert to fraction form
    940,014/1,369,812 = 1,369,812/x
  3. Step 3: Cross multiply
    940,014x = 1,369,812 × 1,369,812
  4. Step 4: Simplify right side
    940,014x = 1,876,384,915,344
  5. Step 5: Solve for x
    x = 1,876,384,915,344/940,014
  6. Step 6: Final answer
    x = 1,996,124.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.