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Finding the Third Proportional to 463,828 and 997,773

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Solution

The third proportional to 463,828 and 997,773 is: 2,146,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,828 : 997,773 = 997,773 : x
  2. Step 2: Convert to fraction form
    463,828/997,773 = 997,773/x
  3. Step 3: Cross multiply
    463,828x = 997,773 × 997,773
  4. Step 4: Simplify right side
    463,828x = 995,550,959,529
  5. Step 5: Solve for x
    x = 995,550,959,529/463,828
  6. Step 6: Final answer
    x = 2,146,379.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.