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Finding the Third Proportional to 504,871.31 and 1,080,678.38

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Solution

The third proportional to 504,871.31 and 1,080,678.38 is: 2,313,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,871.31 : 1,080,678.38 = 1,080,678.38 : x
  2. Step 2: Convert to fraction form
    504,871.31/1,080,678.38 = 1,080,678.38/x
  3. Step 3: Cross multiply
    504,871.31x = 1,080,678.38 × 1,080,678.38
  4. Step 4: Simplify right side
    504,871.31x = 1,167,865,750,192.64
  5. Step 5: Solve for x
    x = 1,167,865,750,192.64/504,871.31
  6. Step 6: Final answer
    x = 2,313,194.91

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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.