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Finding the Third Proportional to 462,217 and 993,420

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Solution

The third proportional to 462,217 and 993,420 is: 2,135,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,217 : 993,420 = 993,420 : x
  2. Step 2: Convert to fraction form
    462,217/993,420 = 993,420/x
  3. Step 3: Cross multiply
    462,217x = 993,420 × 993,420
  4. Step 4: Simplify right side
    462,217x = 986,883,296,400
  5. Step 5: Solve for x
    x = 986,883,296,400/462,217
  6. Step 6: Final answer
    x = 2,135,108.18

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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.