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Finding the Third Proportional to 804,206.25 and 1,731,978

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Solution

The third proportional to 804,206.25 and 1,731,978 is: 3,730,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,206.25 : 1,731,978 = 1,731,978 : x
  2. Step 2: Convert to fraction form
    804,206.25/1,731,978 = 1,731,978/x
  3. Step 3: Cross multiply
    804,206.25x = 1,731,978 × 1,731,978
  4. Step 4: Simplify right side
    804,206.25x = 2,999,747,792,484
  5. Step 5: Solve for x
    x = 2,999,747,792,484/804,206.25
  6. Step 6: Final answer
    x = 3,730,072.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.