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Finding the Third Proportional to 462,322 and 993,612

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Solution

The third proportional to 462,322 and 993,612 is: 2,135,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,322 : 993,612 = 993,612 : x
  2. Step 2: Convert to fraction form
    462,322/993,612 = 993,612/x
  3. Step 3: Cross multiply
    462,322x = 993,612 × 993,612
  4. Step 4: Simplify right side
    462,322x = 987,264,806,544
  5. Step 5: Solve for x
    x = 987,264,806,544/462,322
  6. Step 6: Final answer
    x = 2,135,448.47

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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.