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Finding the Third Proportional to 469,332 and 996,836

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Solution

The third proportional to 469,332 and 996,836 is: 2,117,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,332 : 996,836 = 996,836 : x
  2. Step 2: Convert to fraction form
    469,332/996,836 = 996,836/x
  3. Step 3: Cross multiply
    469,332x = 996,836 × 996,836
  4. Step 4: Simplify right side
    469,332x = 993,682,010,896
  5. Step 5: Solve for x
    x = 993,682,010,896/469,332
  6. Step 6: Final answer
    x = 2,117,226.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.