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Finding the Third Proportional to 550,216.13 and 1,160,119.13

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Solution

The third proportional to 550,216.13 and 1,160,119.13 is: 2,446,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,216.13 : 1,160,119.13 = 1,160,119.13 : x
  2. Step 2: Convert to fraction form
    550,216.13/1,160,119.13 = 1,160,119.13/x
  3. Step 3: Cross multiply
    550,216.13x = 1,160,119.13 × 1,160,119.13
  4. Step 4: Simplify right side
    550,216.13x = 1,345,876,384,190.77
  5. Step 5: Solve for x
    x = 1,345,876,384,190.77/550,216.13
  6. Step 6: Final answer
    x = 2,446,086.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.