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Finding the Third Proportional to 1,204,361 and 1,761,307

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Solution

The third proportional to 1,204,361 and 1,761,307 is: 2,575,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,361 : 1,761,307 = 1,761,307 : x
  2. Step 2: Convert to fraction form
    1,204,361/1,761,307 = 1,761,307/x
  3. Step 3: Cross multiply
    1,204,361x = 1,761,307 × 1,761,307
  4. Step 4: Simplify right side
    1,204,361x = 3,102,202,348,249
  5. Step 5: Solve for x
    x = 3,102,202,348,249/1,204,361
  6. Step 6: Final answer
    x = 2,575,807.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.