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Finding the Third Proportional to 836,236 and 1,780,346

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Solution

The third proportional to 836,236 and 1,780,346 is: 3,790,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,236 : 1,780,346 = 1,780,346 : x
  2. Step 2: Convert to fraction form
    836,236/1,780,346 = 1,780,346/x
  3. Step 3: Cross multiply
    836,236x = 1,780,346 × 1,780,346
  4. Step 4: Simplify right side
    836,236x = 3,169,631,879,716
  5. Step 5: Solve for x
    x = 3,169,631,879,716/836,236
  6. Step 6: Final answer
    x = 3,790,355.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.