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Finding the Third Proportional to 633,456 and 1,344,636

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Solution

The third proportional to 633,456 and 1,344,636 is: 2,854,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,456 : 1,344,636 = 1,344,636 : x
  2. Step 2: Convert to fraction form
    633,456/1,344,636 = 1,344,636/x
  3. Step 3: Cross multiply
    633,456x = 1,344,636 × 1,344,636
  4. Step 4: Simplify right side
    633,456x = 1,808,045,972,496
  5. Step 5: Solve for x
    x = 1,808,045,972,496/633,456
  6. Step 6: Final answer
    x = 2,854,256.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.