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Finding the Third Proportional to 802,602 and 1,671,632

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Solution

The third proportional to 802,602 and 1,671,632 is: 3,481,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,602 : 1,671,632 = 1,671,632 : x
  2. Step 2: Convert to fraction form
    802,602/1,671,632 = 1,671,632/x
  3. Step 3: Cross multiply
    802,602x = 1,671,632 × 1,671,632
  4. Step 4: Simplify right side
    802,602x = 2,794,353,543,424
  5. Step 5: Solve for x
    x = 2,794,353,543,424/802,602
  6. Step 6: Final answer
    x = 3,481,617.97

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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.