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Finding the Third Proportional to 944,099 and 1,423,983

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Solution

The third proportional to 944,099 and 1,423,983 is: 2,147,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,099 : 1,423,983 = 1,423,983 : x
  2. Step 2: Convert to fraction form
    944,099/1,423,983 = 1,423,983/x
  3. Step 3: Cross multiply
    944,099x = 1,423,983 × 1,423,983
  4. Step 4: Simplify right side
    944,099x = 2,027,727,584,289
  5. Step 5: Solve for x
    x = 2,027,727,584,289/944,099
  6. Step 6: Final answer
    x = 2,147,791.26

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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.