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Finding the Third Proportional to 635,346 and 1,362,816

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Solution

The third proportional to 635,346 and 1,362,816 is: 2,923,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,346 : 1,362,816 = 1,362,816 : x
  2. Step 2: Convert to fraction form
    635,346/1,362,816 = 1,362,816/x
  3. Step 3: Cross multiply
    635,346x = 1,362,816 × 1,362,816
  4. Step 4: Simplify right side
    635,346x = 1,857,267,449,856
  5. Step 5: Solve for x
    x = 1,857,267,449,856/635,346
  6. Step 6: Final answer
    x = 2,923,237.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.