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Finding the Third Proportional to 636,396 and 1,372,416

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Solution

The third proportional to 636,396 and 1,372,416 is: 2,959,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,396 : 1,372,416 = 1,372,416 : x
  2. Step 2: Convert to fraction form
    636,396/1,372,416 = 1,372,416/x
  3. Step 3: Cross multiply
    636,396x = 1,372,416 × 1,372,416
  4. Step 4: Simplify right side
    636,396x = 1,883,525,677,056
  5. Step 5: Solve for x
    x = 1,883,525,677,056/636,396
  6. Step 6: Final answer
    x = 2,959,675.54

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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.