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Finding the Third Proportional to 545,945.06 and 1,186,201.13

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Solution

The third proportional to 545,945.06 and 1,186,201.13 is: 2,577,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,945.06 : 1,186,201.13 = 1,186,201.13 : x
  2. Step 2: Convert to fraction form
    545,945.06/1,186,201.13 = 1,186,201.13/x
  3. Step 3: Cross multiply
    545,945.06x = 1,186,201.13 × 1,186,201.13
  4. Step 4: Simplify right side
    545,945.06x = 1,407,073,108,951.27
  5. Step 5: Solve for x
    x = 1,407,073,108,951.27/545,945.06
  6. Step 6: Final answer
    x = 2,577,316.30

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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.