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Finding the Third Proportional to 459,592 and 992,972

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Solution

The third proportional to 459,592 and 992,972 is: 2,145,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,592 : 992,972 = 992,972 : x
  2. Step 2: Convert to fraction form
    459,592/992,972 = 992,972/x
  3. Step 3: Cross multiply
    459,592x = 992,972 × 992,972
  4. Step 4: Simplify right side
    459,592x = 985,993,392,784
  5. Step 5: Solve for x
    x = 985,993,392,784/459,592
  6. Step 6: Final answer
    x = 2,145,366.74

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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.