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Finding the Third Proportional to 459,814.50 and 1,002,384

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Solution

The third proportional to 459,814.50 and 1,002,384 is: 2,185,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,814.50 : 1,002,384 = 1,002,384 : x
  2. Step 2: Convert to fraction form
    459,814.50/1,002,384 = 1,002,384/x
  3. Step 3: Cross multiply
    459,814.50x = 1,002,384 × 1,002,384
  4. Step 4: Simplify right side
    459,814.50x = 1,004,773,683,456
  5. Step 5: Solve for x
    x = 1,004,773,683,456/459,814.50
  6. Step 6: Final answer
    x = 2,185,171.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.