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Finding the Third Proportional to 629,224 and 1,369,024

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Solution

The third proportional to 629,224 and 1,369,024 is: 2,978,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,224 : 1,369,024 = 1,369,024 : x
  2. Step 2: Convert to fraction form
    629,224/1,369,024 = 1,369,024/x
  3. Step 3: Cross multiply
    629,224x = 1,369,024 × 1,369,024
  4. Step 4: Simplify right side
    629,224x = 1,874,226,712,576
  5. Step 5: Solve for x
    x = 1,874,226,712,576/629,224
  6. Step 6: Final answer
    x = 2,978,631.95

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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.