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Finding the Third Proportional to 675,236.25 and 1,462,573.34

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Solution

The third proportional to 675,236.25 and 1,462,573.34 is: 3,167,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,236.25 : 1,462,573.34 = 1,462,573.34 : x
  2. Step 2: Convert to fraction form
    675,236.25/1,462,573.34 = 1,462,573.34/x
  3. Step 3: Cross multiply
    675,236.25x = 1,462,573.34 × 1,462,573.34
  4. Step 4: Simplify right side
    675,236.25x = 2,139,120,762,995.35
  5. Step 5: Solve for x
    x = 2,139,120,762,995.35/675,236.25
  6. Step 6: Final answer
    x = 3,167,959.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.