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Finding the Third Proportional to 658,704 and 1,419,024

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Solution

The third proportional to 658,704 and 1,419,024 is: 3,056,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,704 : 1,419,024 = 1,419,024 : x
  2. Step 2: Convert to fraction form
    658,704/1,419,024 = 1,419,024/x
  3. Step 3: Cross multiply
    658,704x = 1,419,024 × 1,419,024
  4. Step 4: Simplify right side
    658,704x = 2,013,629,112,576
  5. Step 5: Solve for x
    x = 2,013,629,112,576/658,704
  6. Step 6: Final answer
    x = 3,056,955.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.