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Finding the Third Proportional to 492,678 and 1,059,024

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Solution

The third proportional to 492,678 and 1,059,024 is: 2,276,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,678 : 1,059,024 = 1,059,024 : x
  2. Step 2: Convert to fraction form
    492,678/1,059,024 = 1,059,024/x
  3. Step 3: Cross multiply
    492,678x = 1,059,024 × 1,059,024
  4. Step 4: Simplify right side
    492,678x = 1,121,531,832,576
  5. Step 5: Solve for x
    x = 1,121,531,832,576/492,678
  6. Step 6: Final answer
    x = 2,276,399.26

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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.