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Finding the Third Proportional to 962,462.25 and 2,091,204.84

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Solution

The third proportional to 962,462.25 and 2,091,204.84 is: 4,543,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,462.25 : 2,091,204.84 = 2,091,204.84 : x
  2. Step 2: Convert to fraction form
    962,462.25/2,091,204.84 = 2,091,204.84/x
  3. Step 3: Cross multiply
    962,462.25x = 2,091,204.84 × 2,091,204.84
  4. Step 4: Simplify right side
    962,462.25x = 4,373,137,698,523.46
  5. Step 5: Solve for x
    x = 4,373,137,698,523.46/962,462.25
  6. Step 6: Final answer
    x = 4,543,697.89

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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.