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Finding the Third Proportional to 469,356 and 996,888

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Solution

The third proportional to 469,356 and 996,888 is: 2,117,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,356 : 996,888 = 996,888 : x
  2. Step 2: Convert to fraction form
    469,356/996,888 = 996,888/x
  3. Step 3: Cross multiply
    469,356x = 996,888 × 996,888
  4. Step 4: Simplify right side
    469,356x = 993,785,684,544
  5. Step 5: Solve for x
    x = 993,785,684,544/469,356
  6. Step 6: Final answer
    x = 2,117,338.83

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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.