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Finding the Third Proportional to 1,188,137.25 and 2,803,883.63

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Solution

The third proportional to 1,188,137.25 and 2,803,883.63 is: 6,616,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,137.25 : 2,803,883.63 = 2,803,883.63 : x
  2. Step 2: Convert to fraction form
    1,188,137.25/2,803,883.63 = 2,803,883.63/x
  3. Step 3: Cross multiply
    1,188,137.25x = 2,803,883.63 × 2,803,883.63
  4. Step 4: Simplify right side
    1,188,137.25x = 7,861,763,382,543.14
  5. Step 5: Solve for x
    x = 7,861,763,382,543.14/1,188,137.25
  6. Step 6: Final answer
    x = 6,616,881.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.