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Finding the Third Proportional to 459,164.25 and 993,125.25

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Solution

The third proportional to 459,164.25 and 993,125.25 is: 2,148,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,164.25 : 993,125.25 = 993,125.25 : x
  2. Step 2: Convert to fraction form
    459,164.25/993,125.25 = 993,125.25/x
  3. Step 3: Cross multiply
    459,164.25x = 993,125.25 × 993,125.25
  4. Step 4: Simplify right side
    459,164.25x = 986,297,762,187.56
  5. Step 5: Solve for x
    x = 986,297,762,187.56/459,164.25
  6. Step 6: Final answer
    x = 2,148,028.21

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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.