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Finding the Third Proportional to 1,194,539.91 and 1,791,937.69

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Solution

The third proportional to 1,194,539.91 and 1,791,937.69 is: 2,688,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,539.91 : 1,791,937.69 = 1,791,937.69 : x
  2. Step 2: Convert to fraction form
    1,194,539.91/1,791,937.69 = 1,791,937.69/x
  3. Step 3: Cross multiply
    1,194,539.91x = 1,791,937.69 × 1,791,937.69
  4. Step 4: Simplify right side
    1,194,539.91x = 3,211,040,675,882.85
  5. Step 5: Solve for x
    x = 3,211,040,675,882.85/1,194,539.91
  6. Step 6: Final answer
    x = 2,688,098.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.