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Finding the Third Proportional to 635,944 and 1,347,704

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Solution

The third proportional to 635,944 and 1,347,704 is: 2,856,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,944 : 1,347,704 = 1,347,704 : x
  2. Step 2: Convert to fraction form
    635,944/1,347,704 = 1,347,704/x
  3. Step 3: Cross multiply
    635,944x = 1,347,704 × 1,347,704
  4. Step 4: Simplify right side
    635,944x = 1,816,306,071,616
  5. Step 5: Solve for x
    x = 1,816,306,071,616/635,944
  6. Step 6: Final answer
    x = 2,856,078.64

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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.