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Finding the Third Proportional to 609,152 and 1,309,024

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Solution

The third proportional to 609,152 and 1,309,024 is: 2,812,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,152 : 1,309,024 = 1,309,024 : x
  2. Step 2: Convert to fraction form
    609,152/1,309,024 = 1,309,024/x
  3. Step 3: Cross multiply
    609,152x = 1,309,024 × 1,309,024
  4. Step 4: Simplify right side
    609,152x = 1,713,543,832,576
  5. Step 5: Solve for x
    x = 1,713,543,832,576/609,152
  6. Step 6: Final answer
    x = 2,812,998.78

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Why These Related Problems?

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