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Finding the Third Proportional to 637,794 and 1,341,684

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Solution

The third proportional to 637,794 and 1,341,684 is: 2,822,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,794 : 1,341,684 = 1,341,684 : x
  2. Step 2: Convert to fraction form
    637,794/1,341,684 = 1,341,684/x
  3. Step 3: Cross multiply
    637,794x = 1,341,684 × 1,341,684
  4. Step 4: Simplify right side
    637,794x = 1,800,115,955,856
  5. Step 5: Solve for x
    x = 1,800,115,955,856/637,794
  6. Step 6: Final answer
    x = 2,822,409.67

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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.