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Finding the Third Proportional to 635,952 and 1,345,524

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Solution

The third proportional to 635,952 and 1,345,524 is: 2,846,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,952 : 1,345,524 = 1,345,524 : x
  2. Step 2: Convert to fraction form
    635,952/1,345,524 = 1,345,524/x
  3. Step 3: Cross multiply
    635,952x = 1,345,524 × 1,345,524
  4. Step 4: Simplify right side
    635,952x = 1,810,434,834,576
  5. Step 5: Solve for x
    x = 1,810,434,834,576/635,952
  6. Step 6: Final answer
    x = 2,846,810.51

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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.