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Finding the Third Proportional to 545,949 and 1,181,322

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Solution

The third proportional to 545,949 and 1,181,322 is: 2,556,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,949 : 1,181,322 = 1,181,322 : x
  2. Step 2: Convert to fraction form
    545,949/1,181,322 = 1,181,322/x
  3. Step 3: Cross multiply
    545,949x = 1,181,322 × 1,181,322
  4. Step 4: Simplify right side
    545,949x = 1,395,521,667,684
  5. Step 5: Solve for x
    x = 1,395,521,667,684/545,949
  6. Step 6: Final answer
    x = 2,556,139.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.