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Finding the Third Proportional to 459,583 and 992,956

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Solution

The third proportional to 459,583 and 992,956 is: 2,145,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,583 : 992,956 = 992,956 : x
  2. Step 2: Convert to fraction form
    459,583/992,956 = 992,956/x
  3. Step 3: Cross multiply
    459,583x = 992,956 × 992,956
  4. Step 4: Simplify right side
    459,583x = 985,961,617,936
  5. Step 5: Solve for x
    x = 985,961,617,936/459,583
  6. Step 6: Final answer
    x = 2,145,339.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.