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Finding the Third Proportional to 462,210 and 993,405

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Solution

The third proportional to 462,210 and 993,405 is: 2,135,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,210 : 993,405 = 993,405 : x
  2. Step 2: Convert to fraction form
    462,210/993,405 = 993,405/x
  3. Step 3: Cross multiply
    462,210x = 993,405 × 993,405
  4. Step 4: Simplify right side
    462,210x = 986,853,494,025
  5. Step 5: Solve for x
    x = 986,853,494,025/462,210
  6. Step 6: Final answer
    x = 2,135,076.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.