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Finding the Third Proportional to 836,148 and 1,838,768

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Solution

The third proportional to 836,148 and 1,838,768 is: 4,043,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,148 : 1,838,768 = 1,838,768 : x
  2. Step 2: Convert to fraction form
    836,148/1,838,768 = 1,838,768/x
  3. Step 3: Cross multiply
    836,148x = 1,838,768 × 1,838,768
  4. Step 4: Simplify right side
    836,148x = 3,381,067,757,824
  5. Step 5: Solve for x
    x = 3,381,067,757,824/836,148
  6. Step 6: Final answer
    x = 4,043,623.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.