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Finding the Third Proportional to 641,819 and 993,306

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Solution

The third proportional to 641,819 and 993,306 is: 1,537,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,819 : 993,306 = 993,306 : x
  2. Step 2: Convert to fraction form
    641,819/993,306 = 993,306/x
  3. Step 3: Cross multiply
    641,819x = 993,306 × 993,306
  4. Step 4: Simplify right side
    641,819x = 986,656,809,636
  5. Step 5: Solve for x
    x = 986,656,809,636/641,819
  6. Step 6: Final answer
    x = 1,537,282.02

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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.