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Finding the Third Proportional to 463,676 and 977,166

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Solution

The third proportional to 463,676 and 977,166 is: 2,059,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,676 : 977,166 = 977,166 : x
  2. Step 2: Convert to fraction form
    463,676/977,166 = 977,166/x
  3. Step 3: Cross multiply
    463,676x = 977,166 × 977,166
  4. Step 4: Simplify right side
    463,676x = 954,853,391,556
  5. Step 5: Solve for x
    x = 954,853,391,556/463,676
  6. Step 6: Final answer
    x = 2,059,311.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.