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Finding the Third Proportional to 675,059 and 1,476,212

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Solution

The third proportional to 675,059 and 1,476,212 is: 3,228,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,059 : 1,476,212 = 1,476,212 : x
  2. Step 2: Convert to fraction form
    675,059/1,476,212 = 1,476,212/x
  3. Step 3: Cross multiply
    675,059x = 1,476,212 × 1,476,212
  4. Step 4: Simplify right side
    675,059x = 2,179,201,868,944
  5. Step 5: Solve for x
    x = 2,179,201,868,944/675,059
  6. Step 6: Final answer
    x = 3,228,165.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.