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Finding the Third Proportional to 671,904 and 1,476,576

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Solution

The third proportional to 671,904 and 1,476,576 is: 3,244,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,904 : 1,476,576 = 1,476,576 : x
  2. Step 2: Convert to fraction form
    671,904/1,476,576 = 1,476,576/x
  3. Step 3: Cross multiply
    671,904x = 1,476,576 × 1,476,576
  4. Step 4: Simplify right side
    671,904x = 2,180,276,683,776
  5. Step 5: Solve for x
    x = 2,180,276,683,776/671,904
  6. Step 6: Final answer
    x = 3,244,922.91

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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.