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Finding the Third Proportional to 469,314 and 996,804

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Solution

The third proportional to 469,314 and 996,804 is: 2,117,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,314 : 996,804 = 996,804 : x
  2. Step 2: Convert to fraction form
    469,314/996,804 = 996,804/x
  3. Step 3: Cross multiply
    469,314x = 996,804 × 996,804
  4. Step 4: Simplify right side
    469,314x = 993,618,214,416
  5. Step 5: Solve for x
    x = 993,618,214,416/469,314
  6. Step 6: Final answer
    x = 2,117,171.48

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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.