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Finding the Third Proportional to 636,380 and 1,372,341

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Solution

The third proportional to 636,380 and 1,372,341 is: 2,959,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,380 : 1,372,341 = 1,372,341 : x
  2. Step 2: Convert to fraction form
    636,380/1,372,341 = 1,372,341/x
  3. Step 3: Cross multiply
    636,380x = 1,372,341 × 1,372,341
  4. Step 4: Simplify right side
    636,380x = 1,883,319,820,281
  5. Step 5: Solve for x
    x = 1,883,319,820,281/636,380
  6. Step 6: Final answer
    x = 2,959,426.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.