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Finding the Third Proportional to 635,175 and 1,362,447

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Solution

The third proportional to 635,175 and 1,362,447 is: 2,922,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,175 : 1,362,447 = 1,362,447 : x
  2. Step 2: Convert to fraction form
    635,175/1,362,447 = 1,362,447/x
  3. Step 3: Cross multiply
    635,175x = 1,362,447 × 1,362,447
  4. Step 4: Simplify right side
    635,175x = 1,856,261,827,809
  5. Step 5: Solve for x
    x = 1,856,261,827,809/635,175
  6. Step 6: Final answer
    x = 2,922,441.58

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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.