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Finding the Third Proportional to 463,826 and 997,769

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Solution

The third proportional to 463,826 and 997,769 is: 2,146,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,826 : 997,769 = 997,769 : x
  2. Step 2: Convert to fraction form
    463,826/997,769 = 997,769/x
  3. Step 3: Cross multiply
    463,826x = 997,769 × 997,769
  4. Step 4: Simplify right side
    463,826x = 995,542,977,361
  5. Step 5: Solve for x
    x = 995,542,977,361/463,826
  6. Step 6: Final answer
    x = 2,146,371.65

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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.