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Finding the Third Proportional to 833,206 and 1,244,349

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Solution

The third proportional to 833,206 and 1,244,349 is: 1,858,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,206 : 1,244,349 = 1,244,349 : x
  2. Step 2: Convert to fraction form
    833,206/1,244,349 = 1,244,349/x
  3. Step 3: Cross multiply
    833,206x = 1,244,349 × 1,244,349
  4. Step 4: Simplify right side
    833,206x = 1,548,404,433,801
  5. Step 5: Solve for x
    x = 1,548,404,433,801/833,206
  6. Step 6: Final answer
    x = 1,858,369.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.