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Finding the Third Proportional to 1,193,730.75 and 2,589,332.06

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Solution

The third proportional to 1,193,730.75 and 2,589,332.06 is: 5,616,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,730.75 : 2,589,332.06 = 2,589,332.06 : x
  2. Step 2: Convert to fraction form
    1,193,730.75/2,589,332.06 = 2,589,332.06/x
  3. Step 3: Cross multiply
    1,193,730.75x = 2,589,332.06 × 2,589,332.06
  4. Step 4: Simplify right side
    1,193,730.75x = 6,704,640,529,890.50
  5. Step 5: Solve for x
    x = 6,704,640,529,890.50/1,193,730.75
  6. Step 6: Final answer
    x = 5,616,543.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.