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Finding the Third Proportional to 451,851.75 and 941,122.13

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Solution

The third proportional to 451,851.75 and 941,122.13 is: 1,960,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,851.75 : 941,122.13 = 941,122.13 : x
  2. Step 2: Convert to fraction form
    451,851.75/941,122.13 = 941,122.13/x
  3. Step 3: Cross multiply
    451,851.75x = 941,122.13 × 941,122.13
  4. Step 4: Simplify right side
    451,851.75x = 885,710,854,164.52
  5. Step 5: Solve for x
    x = 885,710,854,164.52/451,851.75
  6. Step 6: Final answer
    x = 1,960,180.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.