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Finding the Third Proportional to 833,192 and 1,244,337

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Solution

The third proportional to 833,192 and 1,244,337 is: 1,858,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,192 : 1,244,337 = 1,244,337 : x
  2. Step 2: Convert to fraction form
    833,192/1,244,337 = 1,244,337/x
  3. Step 3: Cross multiply
    833,192x = 1,244,337 × 1,244,337
  4. Step 4: Simplify right side
    833,192x = 1,548,374,569,569
  5. Step 5: Solve for x
    x = 1,548,374,569,569/833,192
  6. Step 6: Final answer
    x = 1,858,364.66

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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.