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Finding the Third Proportional to 462,213 and 993,438

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Solution

The third proportional to 462,213 and 993,438 is: 2,135,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,213 : 993,438 = 993,438 : x
  2. Step 2: Convert to fraction form
    462,213/993,438 = 993,438/x
  3. Step 3: Cross multiply
    462,213x = 993,438 × 993,438
  4. Step 4: Simplify right side
    462,213x = 986,919,059,844
  5. Step 5: Solve for x
    x = 986,919,059,844/462,213
  6. Step 6: Final answer
    x = 2,135,204.03

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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.