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Finding the Third Proportional to 641,192 and 996,789

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Solution

The third proportional to 641,192 and 996,789 is: 1,549,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,192 : 996,789 = 996,789 : x
  2. Step 2: Convert to fraction form
    641,192/996,789 = 996,789/x
  3. Step 3: Cross multiply
    641,192x = 996,789 × 996,789
  4. Step 4: Simplify right side
    641,192x = 993,588,310,521
  5. Step 5: Solve for x
    x = 993,588,310,521/641,192
  6. Step 6: Final answer
    x = 1,549,595.61

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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.