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Finding the Third Proportional to 545,383.13 and 1,177,881.75

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Solution

The third proportional to 545,383.13 and 1,177,881.75 is: 2,543,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,383.13 : 1,177,881.75 = 1,177,881.75 : x
  2. Step 2: Convert to fraction form
    545,383.13/1,177,881.75 = 1,177,881.75/x
  3. Step 3: Cross multiply
    545,383.13x = 1,177,881.75 × 1,177,881.75
  4. Step 4: Simplify right side
    545,383.13x = 1,387,405,416,983.06
  5. Step 5: Solve for x
    x = 1,387,405,416,983.06/545,383.13
  6. Step 6: Final answer
    x = 2,543,909.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.