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Finding the Third Proportional to 469,344 and 996,864

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Solution

The third proportional to 469,344 and 996,864 is: 2,117,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,344 : 996,864 = 996,864 : x
  2. Step 2: Convert to fraction form
    469,344/996,864 = 996,864/x
  3. Step 3: Cross multiply
    469,344x = 996,864 × 996,864
  4. Step 4: Simplify right side
    469,344x = 993,737,834,496
  5. Step 5: Solve for x
    x = 993,737,834,496/469,344
  6. Step 6: Final answer
    x = 2,117,291.02

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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.