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Finding the Third Proportional to 641,923 and 993,423

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Solution

The third proportional to 641,923 and 993,423 is: 1,537,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,923 : 993,423 = 993,423 : x
  2. Step 2: Convert to fraction form
    641,923/993,423 = 993,423/x
  3. Step 3: Cross multiply
    641,923x = 993,423 × 993,423
  4. Step 4: Simplify right side
    641,923x = 986,889,256,929
  5. Step 5: Solve for x
    x = 986,889,256,929/641,923
  6. Step 6: Final answer
    x = 1,537,395.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.