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Finding the Third Proportional to 428,424.19 and 933,697.13

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Solution

The third proportional to 428,424.19 and 933,697.13 is: 2,034,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,424.19 : 933,697.13 = 933,697.13 : x
  2. Step 2: Convert to fraction form
    428,424.19/933,697.13 = 933,697.13/x
  3. Step 3: Cross multiply
    428,424.19x = 933,697.13 × 933,697.13
  4. Step 4: Simplify right side
    428,424.19x = 871,790,321,233.27
  5. Step 5: Solve for x
    x = 871,790,321,233.27/428,424.19
  6. Step 6: Final answer
    x = 2,034,876.52

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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.