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Finding the Third Proportional to 536,455 and 996,830

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Solution

The third proportional to 536,455 and 996,830 is: 1,852,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,455 : 996,830 = 996,830 : x
  2. Step 2: Convert to fraction form
    536,455/996,830 = 996,830/x
  3. Step 3: Cross multiply
    536,455x = 996,830 × 996,830
  4. Step 4: Simplify right side
    536,455x = 993,670,048,900
  5. Step 5: Solve for x
    x = 993,670,048,900/536,455
  6. Step 6: Final answer
    x = 1,852,289.66

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.