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Finding the Third Proportional to 459,114 and 991,999.50

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Solution

The third proportional to 459,114 and 991,999.50 is: 2,143,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,114 : 991,999.50 = 991,999.50 : x
  2. Step 2: Convert to fraction form
    459,114/991,999.50 = 991,999.50/x
  3. Step 3: Cross multiply
    459,114x = 991,999.50 × 991,999.50
  4. Step 4: Simplify right side
    459,114x = 984,063,008,000.25
  5. Step 5: Solve for x
    x = 984,063,008,000.25/459,114
  6. Step 6: Final answer
    x = 2,143,395.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.