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Finding the Third Proportional to 902,565 and 1,982,274.75

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Solution

The third proportional to 902,565 and 1,982,274.75 is: 4,353,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,565 : 1,982,274.75 = 1,982,274.75 : x
  2. Step 2: Convert to fraction form
    902,565/1,982,274.75 = 1,982,274.75/x
  3. Step 3: Cross multiply
    902,565x = 1,982,274.75 × 1,982,274.75
  4. Step 4: Simplify right side
    902,565x = 3,929,413,184,487.56
  5. Step 5: Solve for x
    x = 3,929,413,184,487.56/902,565
  6. Step 6: Final answer
    x = 4,353,606.87

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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.