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Finding the Third Proportional to 459,593 and 992,974

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Solution

The third proportional to 459,593 and 992,974 is: 2,145,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,593 : 992,974 = 992,974 : x
  2. Step 2: Convert to fraction form
    459,593/992,974 = 992,974/x
  3. Step 3: Cross multiply
    459,593x = 992,974 × 992,974
  4. Step 4: Simplify right side
    459,593x = 985,997,364,676
  5. Step 5: Solve for x
    x = 985,997,364,676/459,593
  6. Step 6: Final answer
    x = 2,145,370.72

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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.