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Finding the Third Proportional to 540,670.50 and 1,151,222.63

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Solution

The third proportional to 540,670.50 and 1,151,222.63 is: 2,451,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,670.50 : 1,151,222.63 = 1,151,222.63 : x
  2. Step 2: Convert to fraction form
    540,670.50/1,151,222.63 = 1,151,222.63/x
  3. Step 3: Cross multiply
    540,670.50x = 1,151,222.63 × 1,151,222.63
  4. Step 4: Simplify right side
    540,670.50x = 1,325,313,532,311.89
  5. Step 5: Solve for x
    x = 1,325,313,532,311.89/540,670.50
  6. Step 6: Final answer
    x = 2,451,240.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.