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Finding the Third Proportional to 486,673 and 996,674

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Solution

The third proportional to 486,673 and 996,674 is: 2,041,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,673 : 996,674 = 996,674 : x
  2. Step 2: Convert to fraction form
    486,673/996,674 = 996,674/x
  3. Step 3: Cross multiply
    486,673x = 996,674 × 996,674
  4. Step 4: Simplify right side
    486,673x = 993,359,062,276
  5. Step 5: Solve for x
    x = 993,359,062,276/486,673
  6. Step 6: Final answer
    x = 2,041,122.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.