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Finding the Third Proportional to 985,729.50 and 1,491,747

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Solution

The third proportional to 985,729.50 and 1,491,747 is: 2,257,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,729.50 : 1,491,747 = 1,491,747 : x
  2. Step 2: Convert to fraction form
    985,729.50/1,491,747 = 1,491,747/x
  3. Step 3: Cross multiply
    985,729.50x = 1,491,747 × 1,491,747
  4. Step 4: Simplify right side
    985,729.50x = 2,225,309,112,009
  5. Step 5: Solve for x
    x = 2,225,309,112,009/985,729.50
  6. Step 6: Final answer
    x = 2,257,525.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.