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Finding the Third Proportional to 459,168 and 993,132

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Solution

The third proportional to 459,168 and 993,132 is: 2,148,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,168 : 993,132 = 993,132 : x
  2. Step 2: Convert to fraction form
    459,168/993,132 = 993,132/x
  3. Step 3: Cross multiply
    459,168x = 993,132 × 993,132
  4. Step 4: Simplify right side
    459,168x = 986,311,169,424
  5. Step 5: Solve for x
    x = 986,311,169,424/459,168
  6. Step 6: Final answer
    x = 2,148,039.87

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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.