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Finding the Third Proportional to 802,600 and 1,671,628

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Solution

The third proportional to 802,600 and 1,671,628 is: 3,481,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,600 : 1,671,628 = 1,671,628 : x
  2. Step 2: Convert to fraction form
    802,600/1,671,628 = 1,671,628/x
  3. Step 3: Cross multiply
    802,600x = 1,671,628 × 1,671,628
  4. Step 4: Simplify right side
    802,600x = 2,794,340,170,384
  5. Step 5: Solve for x
    x = 2,794,340,170,384/802,600
  6. Step 6: Final answer
    x = 3,481,609.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.