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Finding the Third Proportional to 468,790 and 993,452

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Solution

The third proportional to 468,790 and 993,452 is: 2,105,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,790 : 993,452 = 993,452 : x
  2. Step 2: Convert to fraction form
    468,790/993,452 = 993,452/x
  3. Step 3: Cross multiply
    468,790x = 993,452 × 993,452
  4. Step 4: Simplify right side
    468,790x = 986,946,876,304
  5. Step 5: Solve for x
    x = 986,946,876,304/468,790
  6. Step 6: Final answer
    x = 2,105,307.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.