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Finding the Third Proportional to 729,283.50 and 1,517,049

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Solution

The third proportional to 729,283.50 and 1,517,049 is: 3,155,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,283.50 : 1,517,049 = 1,517,049 : x
  2. Step 2: Convert to fraction form
    729,283.50/1,517,049 = 1,517,049/x
  3. Step 3: Cross multiply
    729,283.50x = 1,517,049 × 1,517,049
  4. Step 4: Simplify right side
    729,283.50x = 2,301,437,668,401
  5. Step 5: Solve for x
    x = 2,301,437,668,401/729,283.50
  6. Step 6: Final answer
    x = 3,155,751.73

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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.