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Finding the Third Proportional to 805,180 and 1,755,035

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Solution

The third proportional to 805,180 and 1,755,035 is: 3,825,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,180 : 1,755,035 = 1,755,035 : x
  2. Step 2: Convert to fraction form
    805,180/1,755,035 = 1,755,035/x
  3. Step 3: Cross multiply
    805,180x = 1,755,035 × 1,755,035
  4. Step 4: Simplify right side
    805,180x = 3,080,147,851,225
  5. Step 5: Solve for x
    x = 3,080,147,851,225/805,180
  6. Step 6: Final answer
    x = 3,825,415.25

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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.