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Finding the Third Proportional to 481,681.69 and 1,049,181.19

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Solution

The third proportional to 481,681.69 and 1,049,181.19 is: 2,285,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,681.69 : 1,049,181.19 = 1,049,181.19 : x
  2. Step 2: Convert to fraction form
    481,681.69/1,049,181.19 = 1,049,181.19/x
  3. Step 3: Cross multiply
    481,681.69x = 1,049,181.19 × 1,049,181.19
  4. Step 4: Simplify right side
    481,681.69x = 1,100,781,164,203.91
  5. Step 5: Solve for x
    x = 1,100,781,164,203.91/481,681.69
  6. Step 6: Final answer
    x = 2,285,287.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.