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Finding the Third Proportional to 1,147,890.23 and 1,659,359.67

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Solution

The third proportional to 1,147,890.23 and 1,659,359.67 is: 2,398,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,890.23 : 1,659,359.67 = 1,659,359.67 : x
  2. Step 2: Convert to fraction form
    1,147,890.23/1,659,359.67 = 1,659,359.67/x
  3. Step 3: Cross multiply
    1,147,890.23x = 1,659,359.67 × 1,659,359.67
  4. Step 4: Simplify right side
    1,147,890.23x = 2,753,474,520,645.11
  5. Step 5: Solve for x
    x = 2,753,474,520,645.11/1,147,890.23
  6. Step 6: Final answer
    x = 2,398,726.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.