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Finding the Third Proportional to 600,592 and 1,305,024

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Solution

The third proportional to 600,592 and 1,305,024 is: 2,835,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,592 : 1,305,024 = 1,305,024 : x
  2. Step 2: Convert to fraction form
    600,592/1,305,024 = 1,305,024/x
  3. Step 3: Cross multiply
    600,592x = 1,305,024 × 1,305,024
  4. Step 4: Simplify right side
    600,592x = 1,703,087,640,576
  5. Step 5: Solve for x
    x = 1,703,087,640,576/600,592
  6. Step 6: Final answer
    x = 2,835,681.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.