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Finding the Third Proportional to 3,213,720 and 4,265,082

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Solution

The third proportional to 3,213,720 and 4,265,082 is: 5,660,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,720 : 4,265,082 = 4,265,082 : x
  2. Step 2: Convert to fraction form
    3,213,720/4,265,082 = 4,265,082/x
  3. Step 3: Cross multiply
    3,213,720x = 4,265,082 × 4,265,082
  4. Step 4: Simplify right side
    3,213,720x = 18,190,924,466,724
  5. Step 5: Solve for x
    x = 18,190,924,466,724/3,213,720
  6. Step 6: Final answer
    x = 5,660,394.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.