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Finding the Third Proportional to 540,120.66 and 1,163,979.49

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Solution

The third proportional to 540,120.66 and 1,163,979.49 is: 2,508,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,120.66 : 1,163,979.49 = 1,163,979.49 : x
  2. Step 2: Convert to fraction form
    540,120.66/1,163,979.49 = 1,163,979.49/x
  3. Step 3: Cross multiply
    540,120.66x = 1,163,979.49 × 1,163,979.49
  4. Step 4: Simplify right side
    540,120.66x = 1,354,848,258,233.07
  5. Step 5: Solve for x
    x = 1,354,848,258,233.07/540,120.66
  6. Step 6: Final answer
    x = 2,508,417.78

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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.