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Finding the Third Proportional to 540,137.11 and 1,164,013.03

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Solution

The third proportional to 540,137.11 and 1,164,013.03 is: 2,508,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,137.11 : 1,164,013.03 = 1,164,013.03 : x
  2. Step 2: Convert to fraction form
    540,137.11/1,164,013.03 = 1,164,013.03/x
  3. Step 3: Cross multiply
    540,137.11x = 1,164,013.03 × 1,164,013.03
  4. Step 4: Simplify right side
    540,137.11x = 1,354,926,336,919.81
  5. Step 5: Solve for x
    x = 1,354,926,336,919.81/540,137.11
  6. Step 6: Final answer
    x = 2,508,485.93

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Why These Related Problems?

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