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Finding the Third Proportional to 641,052 and 996,573

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Solution

The third proportional to 641,052 and 996,573 is: 1,549,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,052 : 996,573 = 996,573 : x
  2. Step 2: Convert to fraction form
    641,052/996,573 = 996,573/x
  3. Step 3: Cross multiply
    641,052x = 996,573 × 996,573
  4. Step 4: Simplify right side
    641,052x = 993,157,744,329
  5. Step 5: Solve for x
    x = 993,157,744,329/641,052
  6. Step 6: Final answer
    x = 1,549,262.38

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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.