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Finding the Third Proportional to 637,800 and 1,341,696

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Solution

The third proportional to 637,800 and 1,341,696 is: 2,822,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,800 : 1,341,696 = 1,341,696 : x
  2. Step 2: Convert to fraction form
    637,800/1,341,696 = 1,341,696/x
  3. Step 3: Cross multiply
    637,800x = 1,341,696 × 1,341,696
  4. Step 4: Simplify right side
    637,800x = 1,800,148,156,416
  5. Step 5: Solve for x
    x = 1,800,148,156,416/637,800
  6. Step 6: Final answer
    x = 2,822,433.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.