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Finding the Third Proportional to 635,962 and 1,347,716

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Solution

The third proportional to 635,962 and 1,347,716 is: 2,856,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,962 : 1,347,716 = 1,347,716 : x
  2. Step 2: Convert to fraction form
    635,962/1,347,716 = 1,347,716/x
  3. Step 3: Cross multiply
    635,962x = 1,347,716 × 1,347,716
  4. Step 4: Simplify right side
    635,962x = 1,816,338,416,656
  5. Step 5: Solve for x
    x = 1,816,338,416,656/635,962
  6. Step 6: Final answer
    x = 2,856,048.66

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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.