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Finding the Third Proportional to 826,192.50 and 1,814,982

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Solution

The third proportional to 826,192.50 and 1,814,982 is: 3,987,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,192.50 : 1,814,982 = 1,814,982 : x
  2. Step 2: Convert to fraction form
    826,192.50/1,814,982 = 1,814,982/x
  3. Step 3: Cross multiply
    826,192.50x = 1,814,982 × 1,814,982
  4. Step 4: Simplify right side
    826,192.50x = 3,294,159,660,324
  5. Step 5: Solve for x
    x = 3,294,159,660,324/826,192.50
  6. Step 6: Final answer
    x = 3,987,157.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.