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Finding the Third Proportional to 505,284 and 1,080,580

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Solution

The third proportional to 505,284 and 1,080,580 is: 2,310,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,284 : 1,080,580 = 1,080,580 : x
  2. Step 2: Convert to fraction form
    505,284/1,080,580 = 1,080,580/x
  3. Step 3: Cross multiply
    505,284x = 1,080,580 × 1,080,580
  4. Step 4: Simplify right side
    505,284x = 1,167,653,136,400
  5. Step 5: Solve for x
    x = 1,167,653,136,400/505,284
  6. Step 6: Final answer
    x = 2,310,884.84

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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.