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Finding the Third Proportional to 1,180,911.66 and 2,529,721.13

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Solution

The third proportional to 1,180,911.66 and 2,529,721.13 is: 5,419,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,911.66 : 2,529,721.13 = 2,529,721.13 : x
  2. Step 2: Convert to fraction form
    1,180,911.66/2,529,721.13 = 2,529,721.13/x
  3. Step 3: Cross multiply
    1,180,911.66x = 2,529,721.13 × 2,529,721.13
  4. Step 4: Simplify right side
    1,180,911.66x = 6,399,488,970,271.27
  5. Step 5: Solve for x
    x = 6,399,488,970,271.27/1,180,911.66
  6. Step 6: Final answer
    x = 5,419,108.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.